657325013 has 2 divisors, whose sum is σ = 657325014. Its totient is φ = 657325012.

The previous prime is 657325001. The next prime is 657325037. The reversal of 657325013 is 310523756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356718769 + 300606244 = 18887^2 + 17338^2 .

It is a cyclic number.

It is not a de Polignac number, because 657325013 - 2⁸ = 657324757 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_34154393 and since 657325013 and 34154393 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657325063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328662506 + 328662507.

It is an arithmetic number, because the mean of its divisors is an integer number (328662507).

Almost surely, 2^657325013 is an apocalyptic number.

It is an amenable number.

657325013 is a deficient number, since it is larger than the sum of its proper divisors (1).

657325013 is an equidigital number, since it uses as much as digits as its factorization.

657325013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 657325013 is about 25638.3504344566. The cubic root of 657325013 is about 869.4809133187.

Adding to 657325013 its reverse (310523756), we get a palindrome (967848769).

The spelling of 657325013 in words is "six hundred fifty-seven million, three hundred twenty-five thousand, thirteen".