957200513 has 4 divisors (see below), whose sum is σ = 965671428. Its totient is φ = 948729600.

The previous prime is 957200509. The next prime is 957200579. The reversal of 957200513 is 315002759.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 315002759 = 157 ⋅2006387.

It can be written as a sum of positive squares in 2 ways, for example, as 213656689 + 743543824 = 14617^2 + 27268^2 .

It is a cyclic number.

It is not a de Polignac number, because 957200513 - 2² = 957200509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 957200513.

It is not an unprimeable number, because it can be changed into a prime (957202513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4235288 + ... + 4235513.

It is an arithmetic number, because the mean of its divisors is an integer number (241417857).

Almost surely, 2^957200513 is an apocalyptic number.

It is an amenable number.

957200513 is a deficient number, since it is larger than the sum of its proper divisors (8470915).

957200513 is a wasteful number, since it uses less digits than its factorization.

957200513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470914.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 957200513 is about 30938.6572591637. The cubic root of 957200513 is about 985.5249893638.

The spelling of 957200513 in words is "nine hundred fifty-seven million, two hundred thousand, five hundred thirteen".