125331892645050 has 216 divisors, whose sum is σ = 421831342495836. Its totient is φ = 26443652014080.

The previous prime is 125331892645039. The next prime is 125331892645051. The reversal of 125331892645050 is 50546298133521.

125331892645050 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 189 + 2 + 6 + 450 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 43345513880361 + 81986378764689 = 6583731^2 + 9054633^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125331892645051) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 218328199 + ... + 218901498.

Almost surely, 2^{125331892645050} is an apocalyptic number.

125331892645050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125331892645050 is an abundant number, since it is smaller than the sum of its proper divisors (296499449850786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125331892645050 is a wasteful number, since it uses less digits than its factorization.

125331892645050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437229742 (or 437229727 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 125331892645050 in words is "one hundred twenty-five trillion, three hundred thirty-one billion, eight hundred ninety-two million, six hundred forty-five thousand, fifty".