10174225952 has 54 divisors (see below), whose sum is σ = 22030594677. Its totient is φ = 4621795200.

The previous prime is 10174225921. The next prime is 10174225961. The reversal of 10174225952 is 25952247101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10174225952 is digitally balanced in base 2, because in such base 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 9378760336 + 795465616 = 96844^2 + 28204^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71324.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6275702 + ... + 6277322.

Almost surely, 2^10174225952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10174225952

10174225952 is an abundant number, since it is smaller than the sum of its proper divisors (11856368725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10174225952 is an frugal number, since it uses more digits than its factorization.

10174225952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 10174225952 in words is "ten billion, one hundred seventy-four million, two hundred twenty-five thousand, nine hundred fifty-two".