125541953761 has 21 divisors (see below), whose sum is σ = 146607358611. Its totient is φ = 107503219152.

The previous prime is 125541953759. The next prime is 125541953783. The reversal of 125541953761 is 167359145521.

The square root of 125541953761 is 354319.

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., 121204941025 + 4337012736 = 348145^2 + 65856^2 .

It is not a de Polignac number, because 125541953761 - 2¹ = 125541953759 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (125541953261) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 121530901 + ... + 121531933.

It is an arithmetic number, because the mean of its divisors is an integer number (6981302791).

Almost surely, 2^125541953761 is an apocalyptic number.

125541953761 is the 354319-th square number.

125541953761 is the 177160-th centered octagonal number.

It is an amenable number.

125541953761 is a deficient number, since it is larger than the sum of its proper divisors (21065404850).

125541953761 is an frugal number, since it uses more digits than its factorization.

125541953761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 1040 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 49.

Multiplying 125541953761 by its sum of digits (49), we get a square (6151555734289 = 2480233²).

125541953761 divided by its sum of digits (49) gives a square (2562080689 = 50617²).

The spelling of 125541953761 in words is "one hundred twenty-five billion, five hundred forty-one million, nine hundred fifty-three thousand, seven hundred sixty-one".