10561117152 has 48 divisors (see below), whose sum is σ = 27825299712. Its totient is φ = 3507373440.

The previous prime is 10561117117. The next prime is 10561117153. The reversal of 10561117152 is 25171116501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10561117152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561117153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176958 + ... + 228989.

It is an arithmetic number, because the mean of its divisors is an integer number (579693744).

Almost surely, 2^10561117152 is an apocalyptic number.

10561117152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10561117152 is an abundant number, since it is smaller than the sum of its proper divisors (17264182560).

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

10561117152 is a wasteful number, since it uses less digits than its factorization.

10561117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406231 (or 406223 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 30.

The spelling of 10561117152 in words is "ten billion, five hundred sixty-one million, one hundred seventeen thousand, one hundred fifty-two".