125917812801 has 27 divisors (see below), whose sum is σ = 199937692227. Its totient is φ = 76306728960.

The previous prime is 125917812733. The next prime is 125917812821. The reversal of 125917812801 is 108218719521.

The square root of 125917812801 is 354849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119263169025 + 6654643776 = 345345^2 + 81576^2 .

It is a de Polignac number, because none of the positive numbers 2^k-125917812801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125917812821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11704641 + ... + 11715393.

Almost surely, 2^125917812801 is an apocalyptic number.

125917812801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125917812801 is the 354849-th square number.

125917812801 is the 177425-th centered octagonal number.

It is an amenable number.

125917812801 is a deficient number, since it is larger than the sum of its proper divisors (74019879426).

125917812801 is an frugal number, since it uses more digits than its factorization.

125917812801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21534 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 125917812801 in words is "one hundred twenty-five billion, nine hundred seventeen million, eight hundred twelve thousand, eight hundred one".