10513957 has 4 divisors (see below), whose sum is σ = 10798156. Its totient is φ = 10229760.

The previous prime is 10513933. The next prime is 10513961. The reversal of 10513957 is 75931501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75931501 = 853 ⋅89017.

It can be written as a sum of positive squares in 2 ways, for example, as 5612161 + 4901796 = 2369^2 + 2214^2 .

It is not a de Polignac number, because 10513957 - 2¹⁵ = 10481189 is a prime.

It is a super-2 number, since 2×10513957² = 221086583595698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142044 + ... + 142117.

It is an arithmetic number, because the mean of its divisors is an integer number (2699539).

Almost surely, 2^10513957 is an apocalyptic number.

It is an amenable number.

10513957 is a deficient number, since it is larger than the sum of its proper divisors (284199).

10513957 is an equidigital number, since it uses as much as digits as its factorization.

10513957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284198.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 10513957 is about 3242.5232458689. The cubic root of 10513957 is about 219.0729377649.

The spelling of 10513957 in words is "ten million, five hundred thirteen thousand, nine hundred fifty-seven".