125577313 has 2 divisors, whose sum is σ = 125577314. Its totient is φ = 125577312.

The previous prime is 125577307. The next prime is 125577359. The reversal of 125577313 is 313775521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65173329 + 60403984 = 8073^2 + 7772^2 .

It is a cyclic number.

It is not a de Polignac number, because 125577313 - 2⁵ = 125577281 is a prime.

It is not a weakly prime, because it can be changed into another prime (125574313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62788656 + 62788657.

It is an arithmetic number, because the mean of its divisors is an integer number (62788657).

Almost surely, 2^125577313 is an apocalyptic number.

It is an amenable number.

125577313 is a deficient number, since it is larger than the sum of its proper divisors (1).

125577313 is an equidigital number, since it uses as much as digits as its factorization.

125577313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22050, while the sum is 34.

The square root of 125577313 is about 11206.1283679958. The cubic root of 125577313 is about 500.7685686658.

The spelling of 125577313 in words is "one hundred twenty-five million, five hundred seventy-seven thousand, three hundred thirteen".