393621433611025 has 81 divisors (see below), whose sum is σ = 520738857429651. Its totient is φ = 295110978324480.

The previous prime is 393621433610963. The next prime is 393621433611037. The reversal of 393621433611025 is 520116334126393.

The square root of 393621433611025 is 19839895.

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

It can be written as a sum of positive squares in 13 ways, for example, as 390966111216769 + 2655322394256 = 19772863^2 + 1629516^2 .

It is not a de Polignac number, because 393621433611025 - 2¹⁵ = 393621433578257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 393621433611025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 182824631349 + ... + 182824633501.

Almost surely, 2^{393621433611025} is an apocalyptic number.

393621433611025 is the 19839895-th square number.

393621433611025 is the 9919948-th centered octagonal number.

It is an amenable number.

393621433611025 is a deficient number, since it is larger than the sum of its proper divisors (127117423818626).

393621433611025 is an frugal number, since it uses more digits than its factorization.

393621433611025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 393621433611025 in words is "three hundred ninety-three trillion, six hundred twenty-one billion, four hundred thirty-three million, six hundred eleven thousand, twenty-five".