10056825 has 48 divisors (see below), whose sum is σ = 18927360. Its totient is φ = 5232960.

The previous prime is 10056811. The next prime is 10056829. The reversal of 10056825 is 52865001.

It is not a de Polignac number, because 10056825 - 2⁵ = 10056793 is a prime.

It is a super-2 number, since 2×10056825² = 202279458161250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10056829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31567 + ... + 31883.

It is an arithmetic number, because the mean of its divisors is an integer number (394320).

Almost surely, 2^10056825 is an apocalyptic number.

10056825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10056825 is a deficient number, since it is larger than the sum of its proper divisors (8870535).

10056825 is a wasteful number, since it uses less digits than its factorization.

10056825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10056825 is about 3171.2497536460. The cubic root of 10056825 is about 215.8507842892.

The spelling of 10056825 in words is "ten million, fifty-six thousand, eight hundred twenty-five".