507292940025 has 81 divisors (see below), whose sum is σ = 919519812237. Its totient is φ = 267348283200.

The previous prime is 507292939991. The next prime is 507292940041. The reversal of 507292940025 is 520049292705.

The square root of 507292940025 is 712245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51862319289 + 455430620736 = 227733^2 + 674856^2 .

It is not a de Polignac number, because 507292940025 - 2¹³ = 507292931833 is a prime.

It is a super-2 number, since 2×507292940025² (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1100418295 + ... + 1100418755.

Almost surely, 2^507292940025 is an apocalyptic number.

507292940025 is the 712245-th square number.

507292940025 is the 356123-rd centered octagonal number.

It is an amenable number.

507292940025 is a deficient number, since it is larger than the sum of its proper divisors (412226872212).

507292940025 is an equidigital number, since it uses as much as digits as its factorization.

507292940025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 507292940025 in words is "five hundred seven billion, two hundred ninety-two million, nine hundred forty thousand, twenty-five".