125537513 has 2 divisors, whose sum is σ = 125537514. Its totient is φ = 125537512.

The previous prime is 125537459. The next prime is 125537521. The reversal of 125537513 is 315735521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94322944 + 31214569 = 9712^2 + 5587^2 .

It is a cyclic number.

It is not a de Polignac number, because 125537513 - 2²⁰ = 124488937 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125537513.

It is not a weakly prime, because it can be changed into another prime (125537543) 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, 62768756 + 62768757.

It is an arithmetic number, because the mean of its divisors is an integer number (62768757).

Almost surely, 2^125537513 is an apocalyptic number.

It is an amenable number.

125537513 is a deficient number, since it is larger than the sum of its proper divisors (1).

125537513 is an equidigital number, since it uses as much as digits as its factorization.

125537513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15750, while the sum is 32.

The square root of 125537513 is about 11204.3524132366. The cubic root of 125537513 is about 500.7156591752.

The spelling of 125537513 in words is "one hundred twenty-five million, five hundred thirty-seven thousand, five hundred thirteen".