125738577 has 24 divisors (see below), whose sum is σ = 190031400. Its totient is φ = 80011008.

The previous prime is 125738551. The next prime is 125738581. The reversal of 125738577 is 775837521.

125738577 is a `hidden beast` number, since 1 + 2 + 5 + 73 + 8 + 577 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 124746561 = 996^2 + 11169^2 .

It is not a de Polignac number, because 125738577 - 2¹⁵ = 125705809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125738527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20523 + ... + 25935.

It is an arithmetic number, because the mean of its divisors is an integer number (7917975).

Almost surely, 2^125738577 is an apocalyptic number.

It is an amenable number.

125738577 is a deficient number, since it is larger than the sum of its proper divisors (64292823).

125738577 is a wasteful number, since it uses less digits than its factorization.

125738577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5534 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 125738577 is about 11213.3214080396. The cubic root of 125738577 is about 500.9828361338.

The spelling of 125738577 in words is "one hundred twenty-five million, seven hundred thirty-eight thousand, five hundred seventy-seven".