10256753 has 12 divisors (see below), whose sum is σ = 11427444. Its totient is φ = 9151200.

The previous prime is 10256711. The next prime is 10256759. The reversal of 10256753 is 35765201.

It can be written as a sum of positive squares in 2 ways, for example, as 2122849 + 8133904 = 1457^2 + 2852^2 .

It is not a de Polignac number, because 10256753 - 2¹⁴ = 10240369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10256759) 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, 12083 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (952287).

Almost surely, 2^10256753 is an apocalyptic number.

10256753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10256753 is a deficient number, since it is larger than the sum of its proper divisors (1170691).

10256753 is an equidigital number, since it uses as much as digits as its factorization.

10256753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 10256753 is about 3202.6165864805. The cubic root of 10256753 is about 217.2717683419.

The spelling of 10256753 in words is "ten million, two hundred fifty-six thousand, seven hundred fifty-three".