125167013 has 2 divisors, whose sum is σ = 125167014. Its totient is φ = 125167012.

The previous prime is 125166991. The next prime is 125167027. The reversal of 125167013 is 310761521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124701889 + 465124 = 11167^2 + 682^2 .

It is a cyclic number.

It is not a de Polignac number, because 125167013 - 2⁶ = 125166949 is a prime.

It is a super-2 number, since 2×125167013² = 31333562286684338, which contains 22 as substring.

It is a Chen prime.

It is equal to p_7119053 and since 125167013 and 7119053 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125167043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62583506 + 62583507.

It is an arithmetic number, because the mean of its divisors is an integer number (62583507).

Almost surely, 2^125167013 is an apocalyptic number.

It is an amenable number.

125167013 is a deficient number, since it is larger than the sum of its proper divisors (1).

125167013 is an equidigital number, since it uses as much as digits as its factorization.

125167013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 125167013 is about 11187.8064427304. The cubic root of 125167013 is about 500.2225848972. Note that the first 3 decimals are identical.

The spelling of 125167013 in words is "one hundred twenty-five million, one hundred sixty-seven thousand, thirteen".