125095908721 has 9 divisors (see below), whose sum is σ = 145522610649. Its totient is φ = 107222942484.

The previous prime is 125095908703. The next prime is 125095908767. The reversal of 125095908721 is 127809590521.

The square root of 125095908721 is 353689.

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

It is not a de Polignac number, because 125095908721 - 2¹¹ = 125095906673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125095918721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2450560 + ... + 2501086.

It is an arithmetic number, because the mean of its divisors is an integer number (16169178961).

Almost surely, 2^125095908721 is an apocalyptic number.

125095908721 is the 353689-th square number.

125095908721 is the 176845-th centered octagonal number.

It is an amenable number.

125095908721 is a deficient number, since it is larger than the sum of its proper divisors (20426701928).

125095908721 is an frugal number, since it uses more digits than its factorization.

125095908721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101068 (or 50534 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

Multiplying 125095908721 by its sum of digits (49), we get a square (6129699527329 = 2475823²).

125095908721 divided by its sum of digits (49) gives a square (2552977729 = 50527²).

The spelling of 125095908721 in words is "one hundred twenty-five billion, ninety-five million, nine hundred eight thousand, seven hundred twenty-one".