125824428521 has 32 divisors (see below), whose sum is σ = 144960454656. Its totient is φ = 108096120000.

The previous prime is 125824428503. The next prime is 125824428589.

125824428521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125824428521 - 2¹⁴ = 125824412137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125824428721) 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, 12439256 + ... + 12449366.

It is an arithmetic number, because the mean of its divisors is an integer number (4530014208).

Almost surely, 2^125824428521 is an apocalyptic number.

125824428521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125824428521 is a deficient number, since it is larger than the sum of its proper divisors (19136026135).

125824428521 is a wasteful number, since it uses less digits than its factorization.

125824428521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733.

The product of its digits is 409600, while the sum is 44.

The spelling of 125824428521 in words is "one hundred twenty-five billion, eight hundred twenty-four million, four hundred twenty-eight thousand, five hundred twenty-one".