10257513 has 12 divisors (see below), whose sum is σ = 15909840. Its totient is φ = 5861352.

The previous prime is 10257509. The next prime is 10257529. The reversal of 10257513 is 31575201.

It is not a de Polignac number, because 10257513 - 2² = 10257509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10257553) 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, 34743 + ... + 35036.

It is an arithmetic number, because the mean of its divisors is an integer number (1325820).

Almost surely, 2^10257513 is an apocalyptic number.

It is an amenable number.

10257513 is a deficient number, since it is larger than the sum of its proper divisors (5652327).

10257513 is an equidigital number, since it uses as much as digits as its factorization.

10257513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69796 (or 69789 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10257513 is about 3202.7352372621. The cubic root of 10257513 is about 217.2771346427.

The spelling of 10257513 in words is "ten million, two hundred fifty-seven thousand, five hundred thirteen".