390256337025 has 27 divisors (see below), whose sum is σ = 699009245571. Its totient is φ = 208131715440.

The previous prime is 390256336927. The next prime is 390256337027. The reversal of 390256337025 is 520733652093.

The square root of 390256337025 is 624705.

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

390256337025 is a `hidden beast` number, since 3 + 9 + 0 + 2 + 5 + 633 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140492281329 + 249764055696 = 374823^2 + 499764^2 .

It is a de Polignac number, because none of the positive numbers 2^k-390256337025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (390256337027) 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 26 ways as a sum of consecutive naturals, for example, 9349752 + ... + 9391398.

Almost surely, 2^390256337025 is an apocalyptic number.

390256337025 is the 624705-th square number.

390256337025 is the 312353-rd centered octagonal number.

It is an amenable number.

390256337025 is a deficient number, since it is larger than the sum of its proper divisors (308752908546).

390256337025 is an frugal number, since it uses more digits than its factorization.

390256337025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83310 (or 41655 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 390256337025 in words is "three hundred ninety billion, two hundred fifty-six million, three hundred thirty-seven thousand, twenty-five".