125861168521 has 32 divisors (see below), whose sum is σ = 140639846400. Its totient is φ = 111682872000.

The previous prime is 125861168509. The next prime is 125861168539.

It is a happy number.

125861168521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125861168521 is a prime.

It is a super-2 number, since 2×125861168521² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125861168561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22269546 + ... + 22275196.

It is an arithmetic number, because the mean of its divisors is an integer number (4394995200).

Almost surely, 2^125861168521 is an apocalyptic number.

125861168521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125861168521 is a deficient number, since it is larger than the sum of its proper divisors (14778677879).

125861168521 is a wasteful number, since it uses less digits than its factorization.

125861168521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045.

The product of its digits is 230400, while the sum is 46.

The spelling of 125861168521 in words is "one hundred twenty-five billion, eight hundred sixty-one million, one hundred sixty-eight thousand, five hundred twenty-one".