13564779452523 has 48 divisors (see below), whose sum is σ = 21697460680896. Its totient is φ = 8112052074240.

The previous prime is 13564779452507. The next prime is 13564779452551. The reversal of 13564779452523 is 32525497746531.

13564779452523 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 477 + 94 + 52 + 5 + 23 = 666.

It is not a de Polignac number, because 13564779452523 - 2⁴ = 13564779452507 is a prime.

It is a super-2 number, since 2×13564779452523² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13564779452563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645786 + ... + 5462432.

It is an arithmetic number, because the mean of its divisors is an integer number (452030430852).

Almost surely, 2^{13564779452523} is an apocalyptic number.

13564779452523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13564779452523 is a deficient number, since it is larger than the sum of its proper divisors (8132681228373).

13564779452523 is a wasteful number, since it uses less digits than its factorization.

13564779452523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817524 (or 3817521 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 63.

The spelling of 13564779452523 in words is "thirteen trillion, five hundred sixty-four billion, seven hundred seventy-nine million, four hundred fifty-two thousand, five hundred twenty-three".