125331133521 has 64 divisors (see below), whose sum is σ = 193536147456. Its totient is φ = 71421523200.

The previous prime is 125331133519. The next prime is 125331133553.

125331133521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125331133521 - 2¹ = 125331133519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125331133121) 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 63 ways as a sum of consecutive naturals, for example, 33571971 + ... + 33575703.

It is an arithmetic number, because the mean of its divisors is an integer number (3024002304).

Almost surely, 2^125331133521 is an apocalyptic number.

125331133521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125331133521 is a deficient number, since it is larger than the sum of its proper divisors (68205013935).

125331133521 is a wasteful number, since it uses less digits than its factorization.

125331133521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 125331 and 133521, that added together give a palindrome (258852).

The spelling of 125331133521 in words is "one hundred twenty-five billion, three hundred thirty-one million, one hundred thirty-three thousand, five hundred twenty-one".