10052313 has 8 divisors (see below), whose sum is σ = 13688448. Its totient is φ = 6558864.

The previous prime is 10052297. The next prime is 10052323. The reversal of 10052313 is 31325001.

It is a happy number.

10052313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10052313 - 2⁴ = 10052297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10052292 and 10052301.

It is not an unprimeable number, because it can be changed into a prime (10052323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35506 + ... + 35787.

It is an arithmetic number, because the mean of its divisors is an integer number (1711056).

Almost surely, 2^10052313 is an apocalyptic number.

It is an amenable number.

10052313 is a deficient number, since it is larger than the sum of its proper divisors (3636135).

10052313 is an equidigital number, since it uses as much as digits as its factorization.

10052313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71343.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10052313 is about 3170.5382823741. The cubic root of 10052313 is about 215.8184989365.

Adding to 10052313 its reverse (31325001), we get a palindrome (41377314).

The spelling of 10052313 in words is "ten million, fifty-two thousand, three hundred thirteen".