125164251 has 32 divisors (see below), whose sum is σ = 197121600. Its totient is φ = 78220800.

The previous prime is 125164231. The next prime is 125164283. The reversal of 125164251 is 152461521.

125164251 is a `hidden beast` number, since 12 + 5 + 1 + 642 + 5 + 1 = 666.

It is not a de Polignac number, because 125164251 - 2⁶ = 125164187 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 (125164231) 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 31 ways as a sum of consecutive naturals, for example, 178201 + ... + 178901.

It is an arithmetic number, because the mean of its divisors is an integer number (6160050).

Almost surely, 2^125164251 is an apocalyptic number.

125164251 is a deficient number, since it is larger than the sum of its proper divisors (71957349).

125164251 is a wasteful number, since it uses less digits than its factorization.

125164251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125164251 is about 11187.6830040898. The cubic root of 125164251 is about 500.2189054801.

The spelling of 125164251 in words is "one hundred twenty-five million, one hundred sixty-four thousand, two hundred fifty-one".