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353⁴ = 30⁴ + 120⁴ + 272⁴ + 315⁴. [Norrie]

353 x 2²¹ + 1 and 353 x 2³⁶⁹ + 1 are the only known primes of the form 353 x 2ⁿ + 1. [Melo]

The sum of the first seventeen palindromic numbers, beginning with 0. [De Geest]

The smallest prime in which its 4^th power can be written as the sum of 4 integers to the 4^th (353⁴=30⁴+120⁴+272⁴+315⁴). [Russo]

A multidigit palindromic prime in the decimal expansion of cube root of 44 (a multidigit palindromic number). [Gupta]

The smallest multidigit palindromic prime whose digits are all prime. [Gupta]

The only three-digit prime such that the sum of each of its digits raised to itself is prime, i.e., 3³⁵³ + 5³⁵³ + 3³⁵³ is prime. [Opao]

The smallest palindrome that is the sum of 11 consecutive primes (13+17+19+23+29+31+37+41+43+47+53=353). [Schuler]

A palindromic prime obtained from the palindromic expression 3^5 + 35 + 3 - 53 + 5^3. Note that the sum of digits in the expression is 35. [Gallardo]

The smallest palindromic prime equal to the sum of nine primes (in sequence) congruent to (2,4) mod 6: 353 = 5+7+11+19+29+43+59+79+101. Note that 2 + 4 = 6. [Teofilatto]

The sum of the first five primes that are not Chen primes. Note that 353 is a palindromic Chen prime. [Post]

Male ostriches weigh up to 353 pounds. [Snider]