506161545406125 has 64 divisors (see below), whose sum is σ = 984960098783232. Its totient is φ = 226007015572800.

The previous prime is 506161545406067. The next prime is 506161545406133. The reversal of 506161545406125 is 521604545161605.

It is not a de Polignac number, because 506161545406125 - 2²⁰ = 506161544357549 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242020217 + ... + 2242245966.

It is an arithmetic number, because the mean of its divisors is an integer number (15390001543488).

Almost surely, 2^{506161545406125} is an apocalyptic number.

It is an amenable number.

506161545406125 is a deficient number, since it is larger than the sum of its proper divisors (478798553377107).

506161545406125 is a wasteful number, since it uses less digits than its factorization.

506161545406125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484266251 (or 4484266241 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

The spelling of 506161545406125 in words is "five hundred six trillion, one hundred sixty-one billion, five hundred forty-five million, four hundred six thousand, one hundred twenty-five".