125624784125 has 16 divisors (see below), whose sum is σ = 160603633008. Its totient is φ = 98048608000.

The previous prime is 125624784083. The next prime is 125624784133. The reversal of 125624784125 is 521487426521.

It can be written as a sum of positive squares in 8 ways, for example, as 49587273124 + 76037511001 = 222682^2 + 275749^2 .

It is a de Polignac number, because none of the positive numbers 2^k-125624784125 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125624784125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12250952 + ... + 12261201.

It is an arithmetic number, because the mean of its divisors is an integer number (10037727063).

Almost surely, 2^125624784125 is an apocalyptic number.

It is an amenable number.

125624784125 is a deficient number, since it is larger than the sum of its proper divisors (34978848883).

125624784125 is an equidigital number, since it uses as much as digits as its factorization.

125624784125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24512209 (or 24512199 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The spelling of 125624784125 in words is "one hundred twenty-five billion, six hundred twenty-four million, seven hundred eighty-four thousand, one hundred twenty-five".