125917719521 has 8 divisors (see below), whose sum is σ = 137372973600. Its totient is φ = 114463830240.

The previous prime is 125917719503. The next prime is 125917719559.

125917719521 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 a de Polignac number, because none of the positive numbers 2^k-125917719521 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 125917719521.

It is not an unprimeable number, because it can be changed into a prime (125917719721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143291 + ... + 521888.

It is an arithmetic number, because the mean of its divisors is an integer number (17171621700).

Almost surely, 2^125917719521 is an apocalyptic number.

125917719521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125917719521 is a deficient number, since it is larger than the sum of its proper divisors (11455254079).

125917719521 is a wasteful number, since it uses less digits than its factorization.

125917719521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682399.

The product of its digits is 396900, while the sum is 50.

The spelling of 125917719521 in words is "one hundred twenty-five billion, nine hundred seventeen million, seven hundred nineteen thousand, five hundred twenty-one".