656125313 has 2 divisors, whose sum is σ = 656125314. Its totient is φ = 656125312.

The previous prime is 656125303. The next prime is 656125321. The reversal of 656125313 is 313521656.

656125313 = 18112² + 18113².

656125313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328080769 + 328044544 = 18113^2 + 18112^2 .

It is a cyclic number.

It is not a de Polignac number, because 656125313 - 2¹⁶ = 656059777 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 656125313.

It is not a weakly prime, because it can be changed into another prime (656125303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328062656 + 328062657.

It is an arithmetic number, because the mean of its divisors is an integer number (328062657).

Almost surely, 2^656125313 is an apocalyptic number.

656125313 is the 18113-rd centered square number.

It is an amenable number.

656125313 is a deficient number, since it is larger than the sum of its proper divisors (1).

656125313 is an equidigital number, since it uses as much as digits as its factorization.

656125313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 32.

The square root of 656125313 is about 25614.9431582426. The cubic root of 656125313 is about 868.9516208677.

Adding to 656125313 its reverse (313521656), we get a palindrome (969646969).

The spelling of 656125313 in words is "six hundred fifty-six million, one hundred twenty-five thousand, three hundred thirteen".