125563424365521 has 48 divisors (see below), whose sum is σ = 195251065793280. Its totient is φ = 79713639207360.

The previous prime is 125563424365471. The next prime is 125563424365523.

It is a happy number.

125563424365521 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 6 + 3 + 42 + 43 + 6 + 552 + 1 = 666.

125563424365521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125563424365521 - 2²⁹ = 125562887494609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125563424365523) 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, 34401070 + ... + 37875591.

It is an arithmetic number, because the mean of its divisors is an integer number (4067730537360).

Almost surely, 2^{125563424365521} is an apocalyptic number.

It is an amenable number.

125563424365521 is a deficient number, since it is larger than the sum of its proper divisors (69687641427759).

125563424365521 is an equidigital number, since it uses as much as digits as its factorization.

125563424365521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72276791 (or 72276748 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 125563424365521 in words is "one hundred twenty-five trillion, five hundred sixty-three billion, four hundred twenty-four million, three hundred sixty-five thousand, five hundred twenty-one".