125200515825 has 288 divisors, whose sum is σ = 304055182080. Its totient is φ = 47643033600.

The previous prime is 125200515823. The next prime is 125200515877. The reversal of 125200515825 is 528515002521.

125200515825 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 0 + 51 + 582 + 5 = 666.

125200515825 is an astonishing number since 125200515825 = 125200 + ... + 515825.

It is not a de Polignac number, because 125200515825 - 2¹ = 125200515823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125200515825.

It is not an unprimeable number, because it can be changed into a prime (125200515821) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10891681 + ... + 10903169.

It is an arithmetic number, because the mean of its divisors is an integer number (1055747160).

Almost surely, 2^125200515825 is an apocalyptic number.

125200515825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125200515825 is an abundant number, since it is smaller than the sum of its proper divisors (178854666255).

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

125200515825 is a wasteful number, since it uses less digits than its factorization.

125200515825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 125200515825 in words is "one hundred twenty-five billion, two hundred million, five hundred fifteen thousand, eight hundred twenty-five".