957700013 has 6 divisors (see below), whose sum is σ = 1001150094. Its totient is φ = 916060376.

The previous prime is 957700001. The next prime is 957700039. The reversal of 957700013 is 310007759.

It can be written as a sum of positive squares in only one way, i.e., 601132324 + 356567689 = 24518^2 + 18883^2 .

It is not a de Polignac number, because 957700013 - 2¹⁸ = 957437869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957720013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 904670 + ... + 905727.

It is an arithmetic number, because the mean of its divisors is an integer number (166858349).

Almost surely, 2^957700013 is an apocalyptic number.

It is an amenable number.

957700013 is a deficient number, since it is larger than the sum of its proper divisors (43450081).

957700013 is a wasteful number, since it uses less digits than its factorization.

957700013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810443 (or 1810420 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 32.

The square root of 957700013 is about 30946.7286316341. The cubic root of 957700013 is about 985.6963864475.

The spelling of 957700013 in words is "nine hundred fifty-seven million, seven hundred thousand, thirteen".