34513262553 has 48 divisors (see below), whose sum is σ = 58425955776. Its totient is φ = 17920143360.

The previous prime is 34513262527. The next prime is 34513262561. The reversal of 34513262553 is 35526231543.

It is not a de Polignac number, because 34513262553 - 2¹⁷ = 34513131481 is a prime.

It is a super-3 number, since 3×34513262553³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34513262503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447725 + ... + 4455477.

It is an arithmetic number, because the mean of its divisors is an integer number (1217207412).

Almost surely, 2^34513262553 is an apocalyptic number.

34513262553 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34513262553 is a deficient number, since it is larger than the sum of its proper divisors (23912693223).

34513262553 is a wasteful number, since it uses less digits than its factorization.

34513262553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10534 (or 10527 counting only the distinct ones).

The product of its digits is 324000, while the sum is 39.

The spelling of 34513262553 in words is "thirty-four billion, five hundred thirteen million, two hundred sixty-two thousand, five hundred fifty-three".