527131832085 has 24 divisors (see below), whose sum is σ = 913955687424. Its totient is φ = 281056819680.

The previous prime is 527131832063. The next prime is 527131832099. The reversal of 527131832085 is 580238131725.

527131832085 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 318 + 320 + 8 + 5 = 666.

It is not a de Polignac number, because 527131832085 - 2⁸ = 527131831829 is a prime.

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

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 527131832085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510197 + ... + 1826186.

It is an arithmetic number, because the mean of its divisors is an integer number (38081486976).

Almost surely, 2^527131832085 is an apocalyptic number.

It is an amenable number.

527131832085 is a deficient number, since it is larger than the sum of its proper divisors (386823855339).

527131832085 is a wasteful number, since it uses less digits than its factorization.

527131832085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339905 (or 3339902 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 527131832085 in words is "five hundred twenty-seven billion, one hundred thirty-one million, eight hundred thirty-two thousand, eighty-five".