10056173295609 has 27 divisors (see below), whose sum is σ = 16897219407237. Its totient is φ = 5746346686584.

The previous prime is 10056173295599. The next prime is 10056173295743. The reversal of 10056173295609 is 90659237165001.

The square root of 10056173295609 is 3171147.

It is a perfect power (a square), and thus also a powerful number.

10056173295609 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 1 + 7 + 3 + 29 + 5 + 609 = 666.

10056173295609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10056173295609 - 2⁵ = 10056173295577 is a prime.

It is a super-2 number, since 2×10056173295609² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056173295409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66518584 + ... + 66669590.

Almost surely, 2^{10056173295609} is an apocalyptic number.

10056173295609 is the 3171147-th square number.

10056173295609 is the 1585574-th centered octagonal number.

It is an amenable number.

10056173295609 is a deficient number, since it is larger than the sum of its proper divisors (6841046111628).

10056173295609 is an frugal number, since it uses more digits than its factorization.

10056173295609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302034 (or 151017 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 10056173295609 in words is "ten trillion, fifty-six billion, one hundred seventy-three million, two hundred ninety-five thousand, six hundred nine".