125962561 has 2 divisors, whose sum is σ = 125962562. Its totient is φ = 125962560.

The previous prime is 125962549. The next prime is 125962567. The reversal of 125962561 is 165269521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64496961 + 61465600 = 8031^2 + 7840^2 .

It is a cyclic number.

It is not a de Polignac number, because 125962561 - 2¹³ = 125954369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125962561.

It is not a weakly prime, because it can be changed into another prime (125962567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62981280 + 62981281.

It is an arithmetic number, because the mean of its divisors is an integer number (62981281).

Almost surely, 2^125962561 is an apocalyptic number.

It is an amenable number.

125962561 is a deficient number, since it is larger than the sum of its proper divisors (1).

125962561 is an equidigital number, since it uses as much as digits as its factorization.

125962561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 37.

The square root of 125962561 is about 11223.3043708170. The cubic root of 125962561 is about 501.2801343815.

The spelling of 125962561 in words is "one hundred twenty-five million, nine hundred sixty-two thousand, five hundred sixty-one".