10577505553 has 16 divisors (see below), whose sum is σ = 11442468240. Its totient is φ = 9741828096.

The previous prime is 10577505551. The next prime is 10577505563. The reversal of 10577505553 is 35550577501.

It can be written as a sum of positive squares in 8 ways, for example, as 619860609 + 9957644944 = 24897^2 + 99788^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577505553 - 2¹ = 10577505551 is a prime.

It is a super-2 number, since 2×10577505553² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10577505551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110725 + ... + 182797.

It is an arithmetic number, because the mean of its divisors is an integer number (715154265).

Almost surely, 2^10577505553 is an apocalyptic number.

It is an amenable number.

10577505553 is a deficient number, since it is larger than the sum of its proper divisors (864962687).

10577505553 is an equidigital number, since it uses as much as digits as its factorization.

10577505553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72276.

The product of its (nonzero) digits is 459375, while the sum is 43.

The spelling of 10577505553 in words is "ten billion, five hundred seventy-seven million, five hundred five thousand, five hundred fifty-three".