125075015001 has 16 divisors (see below), whose sum is σ = 185407540800. Its totient is φ = 83333323332.

The previous prime is 125075014969. The next prime is 125075015041. The reversal of 125075015001 is 100510570521.

The cubic root of 125075015001 is 5001.

It is a perfect power (a cube), and thus also a powerful number.

125075015001 is a `hidden beast` number, since 1 + 2 + 507 + 5 + 0 + 150 + 0 + 1 = 666.

It is not a de Polignac number, because 125075015001 - 2⁵ = 125075014969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125075015041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75029170 + ... + 75030836.

It is an arithmetic number, because the mean of its divisors is an integer number (11587971300).

Almost surely, 2^125075015001 is an apocalyptic number.

It is an amenable number.

125075015001 is a deficient number, since it is larger than the sum of its proper divisors (60332525799).

125075015001 is an frugal number, since it uses more digits than its factorization.

125075015001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

Multiplying 125075015001 by its sum of digits (27), we get a cube (3377025405027 = 15003³).

125075015001 divided by its sum of digits (27) gives a cube (4632407963 = 1667³).

Adding to 125075015001 its reverse (100510570521), we get a palindrome (225585585522).

The spelling of 125075015001 in words is "one hundred twenty-five billion, seventy-five million, fifteen thousand, one".