507772422006525 has 144 divisors (see below), whose sum is σ = 991712971057536. Its totient is φ = 246849875919360.

The previous prime is 507772422006461. The next prime is 507772422006589. The reversal of 507772422006525 is 525600224277705.

507772422006525 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 72 + 42 + 2 + 0 + 0 + 6 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (507772422006461) and next prime (507772422006589).

It is not a de Polignac number, because 507772422006525 - 2⁶ = 507772422006461 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 506170339 + ... + 507172511.

It is an arithmetic number, because the mean of its divisors is an integer number (6886895632344).

Almost surely, 2^{507772422006525} is an apocalyptic number.

It is an amenable number.

507772422006525 is a deficient number, since it is larger than the sum of its proper divisors (483940549051011).

507772422006525 is a wasteful number, since it uses less digits than its factorization.

507772422006525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004372 (or 1004364 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 507772422006525 in words is "five hundred seven trillion, seven hundred seventy-two billion, four hundred twenty-two million, six thousand, five hundred twenty-five".