352763711820025 has 27 divisors (see below), whose sum is σ = 480809600974479. Its totient is φ = 256554675498000.

The previous prime is 352763711820001. The next prime is 352763711820053. The reversal of 352763711820025 is 520028117367253.

It is a happy number.

The square root of 352763711820025 is 18782005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 126994936255209 + 225768775564816 = 11269203^2 + 15025604^2 .

It is not a de Polignac number, because 352763711820025 - 2³³ = 352755121885433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1032839530 + ... + 1033181020.

Almost surely, 2^{352763711820025} is an apocalyptic number.

352763711820025 is the 18782005-th square number.

352763711820025 is the 9391003-rd centered octagonal number.

It is an amenable number.

352763711820025 is a deficient number, since it is larger than the sum of its proper divisors (128045889154454).

352763711820025 is an frugal number, since it uses more digits than its factorization.

352763711820025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683014 (or 341507 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 352763711820025 in words is "three hundred fifty-two trillion, seven hundred sixty-three billion, seven hundred eleven million, eight hundred twenty thousand, twenty-five".