352121253 has 12 divisors (see below), whose sum is σ = 516057024. Its totient is φ = 213406600.

The previous prime is 352121213. The next prime is 352121309.

It is a happy number.

352121253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352121253 - 2¹⁴ = 352104869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484653 + ... + 485378.

It is an arithmetic number, because the mean of its divisors is an integer number (43004752).

Almost surely, 2^352121253 is an apocalyptic number.

352121253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352121253 is a deficient number, since it is larger than the sum of its proper divisors (163935771).

352121253 is a wasteful number, since it uses less digits than its factorization.

352121253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970056 (or 970045 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 352121253 is about 18764.8941643698. The cubic root of 352121253 is about 706.1507307365.

Subtracting from 352121253 its product of digits (1800), we obtain a triangular number (352119453 = T₂₆₅₃₇).

The spelling of 352121253 in words is "three hundred fifty-two million, one hundred twenty-one thousand, two hundred fifty-three".