656124961 has 2 divisors, whose sum is σ = 656124962. Its totient is φ = 656124960.

The previous prime is 656124901. The next prime is 656124977. The reversal of 656124961 is 169421656.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 652495936 + 3629025 = 25544^2 + 1905^2 .

It is a cyclic number.

It is not a de Polignac number, because 656124961 - 2¹⁵ = 656092193 is a prime.

It is not a weakly prime, because it can be changed into another prime (656124901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328062480 + 328062481.

It is an arithmetic number, because the mean of its divisors is an integer number (328062481).

Almost surely, 2^656124961 is an apocalyptic number.

It is an amenable number.

656124961 is a deficient number, since it is larger than the sum of its proper divisors (1).

656124961 is an equidigital number, since it uses as much as digits as its factorization.

656124961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 77760, while the sum is 40.

The square root of 656124961 is about 25614.9362872524. The cubic root of 656124961 is about 868.9514654752.

The spelling of 656124961 in words is "six hundred fifty-six million, one hundred twenty-four thousand, nine hundred sixty-one".