125764467521 has 32 divisors (see below), whose sum is σ = 164712960000. Its totient is φ = 93108185280.

The previous prime is 125764467511. The next prime is 125764467539.

It is a happy number.

125764467521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125764467521 - 2¹⁰ = 125764466497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125764467521.

It is not an unprimeable number, because it can be changed into a prime (125764467511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25580 + ... + 502178.

It is an arithmetic number, because the mean of its divisors is an integer number (5147280000).

Almost surely, 2^125764467521 is an apocalyptic number.

125764467521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125764467521 is a deficient number, since it is larger than the sum of its proper divisors (38948492479).

125764467521 is a wasteful number, since it uses less digits than its factorization.

125764467521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476789.

The product of its digits is 2822400, while the sum is 50.

The spelling of 125764467521 in words is "one hundred twenty-five billion, seven hundred sixty-four million, four hundred sixty-seven thousand, five hundred twenty-one".