125233202332521 has 12 divisors (see below), whose sum is σ = 180893321510148. Its totient is φ = 83488377797664.

The previous prime is 125233202332501. The next prime is 125233202332633.

125233202332521 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 320 + 2 + 3 + 325 + 2 + 1 = 666.

125233202332521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 57855191187600 + 67378011144921 = 7606260^2 + 8208411^2 .

It is not a de Polignac number, because 125233202332521 - 2⁶ = 125233202332457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125233202332501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33436170 + ... + 36992483.

It is an arithmetic number, because the mean of its divisors is an integer number (15074443459179).

Almost surely, 2^{125233202332521} is an apocalyptic number.

It is an amenable number.

125233202332521 is a deficient number, since it is larger than the sum of its proper divisors (55660119177627).

125233202332521 is a wasteful number, since it uses less digits than its factorization.

125233202332521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70626232 (or 70626229 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 12523320 and 2332521, that added together give a palindrome (14855841).

The spelling of 125233202332521 in words is "one hundred twenty-five trillion, two hundred thirty-three billion, two hundred two million, three hundred thirty-two thousand, five hundred twenty-one".