2523145563 has 24 divisors (see below), whose sum is σ = 3859784448. Its totient is φ = 1584939312.

The previous prime is 2523145553. The next prime is 2523145567. The reversal of 2523145563 is 3655413252.

2523145563 is a `hidden beast` number, since 2 + 52 + 3 + 1 + 45 + 563 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2523145563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2523145567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77095 + ... + 104832.

It is an arithmetic number, because the mean of its divisors is an integer number (160824352).

Almost surely, 2^2523145563 is an apocalyptic number.

2523145563 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2523145563 is a deficient number, since it is larger than the sum of its proper divisors (1336638885).

2523145563 is a wasteful number, since it uses less digits than its factorization.

2523145563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182023 (or 182020 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2523145563 is about 50230.9223785508. The cubic root of 2523145563 is about 1361.3843967713.

The spelling of 2523145563 in words is "two billion, five hundred twenty-three million, one hundred forty-five thousand, five hundred sixty-three".