390306315025 has 81 divisors (see below), whose sum is σ = 548530924977. Its totient is φ = 275287636800.

The previous prime is 390306315013. The next prime is 390306315037. The reversal of 390306315025 is 520513603093.

The square root of 390306315025 is 624745.

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

It is an interprime number because it is at equal distance from previous prime (390306315013) and next prime (390306315037).

It can be written as a sum of positive squares in 4 ways, for example, as 37052015121 + 353254299904 = 192489^2 + 594352^2 .

It is not a de Polignac number, because 390306315025 - 2²⁵ = 390272760593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1271355922 + ... + 1271356228.

Almost surely, 2^390306315025 is an apocalyptic number.

390306315025 is the 624745-th square number.

390306315025 is the 312373-rd centered octagonal number.

It is an amenable number.

390306315025 is a deficient number, since it is larger than the sum of its proper divisors (158224609952).

390306315025 is an equidigital number, since it uses as much as digits as its factorization.

390306315025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 37.

The spelling of 390306315025 in words is "three hundred ninety billion, three hundred six million, three hundred fifteen thousand, twenty-five".