125364213 has 32 divisors (see below), whose sum is σ = 200681600. Its totient is φ = 76889088.

The previous prime is 125364167. The next prime is 125364233. The reversal of 125364213 is 312463521.

125364213 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 642 + 13 = 666.

It is not a de Polignac number, because 125364213 - 2⁶ = 125364149 is a prime.

It is a super-2 number, since 2×125364213² = 31432371802218738, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125364233) 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, 202218 + ... + 202836.

It is an arithmetic number, because the mean of its divisors is an integer number (6271300).

Almost surely, 2^125364213 is an apocalyptic number.

125364213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125364213 is a deficient number, since it is larger than the sum of its proper divisors (75317387).

125364213 is a wasteful number, since it uses less digits than its factorization.

125364213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 125364213 is about 11196.6161406025. The cubic root of 125364213 is about 500.4851464469.

The spelling of 125364213 in words is "one hundred twenty-five million, three hundred sixty-four thousand, two hundred thirteen".