125759957521 has 8 divisors (see below), whose sum is σ = 137379855744. Its totient is φ = 114171255120.

The previous prime is 125759957509. The next prime is 125759957567.

125759957521 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125759957521 - 2²⁹ = 125223086609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125759957501) 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 7 ways as a sum of consecutive naturals, for example, 7790521 + ... + 7806646.

It is an arithmetic number, because the mean of its divisors is an integer number (17172481968).

Almost surely, 2^125759957521 is an apocalyptic number.

125759957521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125759957521 is a deficient number, since it is larger than the sum of its proper divisors (11619898223).

125759957521 is a wasteful number, since it uses less digits than its factorization.

125759957521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15597911.

The product of its digits is 9922500, while the sum is 58.

The spelling of 125759957521 in words is "one hundred twenty-five billion, seven hundred fifty-nine million, nine hundred fifty-seven thousand, five hundred twenty-one".