125536761 has 24 divisors (see below), whose sum is σ = 210335424. Its totient is φ = 70662240.

The previous prime is 125536703. The next prime is 125536811. The reversal of 125536761 is 167635521.

It is not a de Polignac number, because 125536761 - 2¹⁹ = 125012473 is a prime.

It is a super-2 number, since 2×125536761² = 31518956724742242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125536261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10650 + ... + 19091.

It is an arithmetic number, because the mean of its divisors is an integer number (8763976).

Almost surely, 2^125536761 is an apocalyptic number.

It is an amenable number.

125536761 is a deficient number, since it is larger than the sum of its proper divisors (84798663).

125536761 is a wasteful number, since it uses less digits than its factorization.

125536761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29821 (or 29818 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 125536761 is about 11204.3188547988. The cubic root of 125536761 is about 500.7146593706.

The spelling of 125536761 in words is "one hundred twenty-five million, five hundred thirty-six thousand, seven hundred sixty-one".