507107025 has 72 divisors (see below), whose sum is σ = 967538520. Its totient is φ = 253009920.

The previous prime is 507106949. The next prime is 507107039. The reversal of 507107025 is 520701705.

It can be written as a sum of positive squares in 12 ways, for example, as 225270081 + 281836944 = 15009^2 + 16788^2 .

It is not a de Polignac number, because 507107025 - 2⁹ = 507106513 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 507107025.

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 71 ways as a sum of consecutive naturals, for example, 890941 + ... + 891509.

It is an arithmetic number, because the mean of its divisors is an integer number (13438035).

Almost surely, 2^507107025 is an apocalyptic number.

It is an amenable number.

507107025 is a deficient number, since it is larger than the sum of its proper divisors (460431495).

507107025 is a wasteful number, since it uses less digits than its factorization.

507107025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 507107025 is about 22519.0369465481. The cubic root of 507107025 is about 797.4434140595.

The spelling of 507107025 in words is "five hundred seven million, one hundred seven thousand, twenty-five".