125082386325 has 192 divisors, whose sum is σ = 253108800000. Its totient is φ = 60181954560.

The previous prime is 125082386309. The next prime is 125082386333. The reversal of 125082386325 is 523683280521.

125082386325 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 2 + 3 + 8 + 632 + 5 = 666.

125082386325 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 125082386325 - 2⁴ = 125082386309 is a prime.

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

125082386325 is strictly pandigital in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208818376 + ... + 208818974.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275000).

Almost surely, 2^125082386325 is an apocalyptic number.

125082386325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125082386325 is an abundant number, since it is smaller than the sum of its proper divisors (128026413675).

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

125082386325 is a wasteful number, since it uses less digits than its factorization.

125082386325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 125082386325 in words is "one hundred twenty-five billion, eighty-two million, three hundred eighty-six thousand, three hundred twenty-five".