5251680861525 has 96 divisors (see below), whose sum is σ = 11026465689600. Its totient is φ = 2400612811200.

The previous prime is 5251680861503. The next prime is 5251680861541.

It is a happy number.

5251680861525 is a `hidden beast` number, since 5 + 2 + 5 + 16 + 8 + 0 + 8 + 615 + 2 + 5 = 666.

5251680861525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5251680861525 - 2⁶ = 5251680861461 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105772656 + ... + 105822294.

It is an arithmetic number, because the mean of its divisors is an integer number (114859017600).

Almost surely, 2^{5251680861525} is an apocalyptic number.

It is an amenable number.

5251680861525 is an abundant number, since it is smaller than the sum of its proper divisors (5774784828075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5251680861525 is a wasteful number, since it uses less digits than its factorization.

5251680861525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72056 (or 72045 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 5251680861525 in words is "five trillion, two hundred fifty-one billion, six hundred eighty million, eight hundred sixty-one thousand, five hundred twenty-five".