10512313 has 12 divisors (see below), whose sum is σ = 12432612. Its totient is φ = 8860320.

The previous prime is 10512289. The next prime is 10512319. The reversal of 10512313 is 31321501.

10512313 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 5368489 = 2268^2 + 2317^2 .

It is not a de Polignac number, because 10512313 - 2¹³ = 10504121 is a prime.

It is a super-2 number, since 2×10512313² = 221017449219938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10512319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231 + ... + 4747.

It is an arithmetic number, because the mean of its divisors is an integer number (1036051).

Almost surely, 2^10512313 is an apocalyptic number.

It is an amenable number.

10512313 is a deficient number, since it is larger than the sum of its proper divisors (1920299).

10512313 is an equidigital number, since it uses as much as digits as its factorization.

10512313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10512313 is about 3242.2697296801. The cubic root of 10512313 is about 219.0615188265.

Adding to 10512313 its reverse (31321501), we get a palindrome (41833814).

It can be divided in two parts, 1051 and 2313, that added together give a square (3364 = 58²).

The spelling of 10512313 in words is "ten million, five hundred twelve thousand, three hundred thirteen".