61253577 has 120 divisors (see below), whose sum is σ = 123152832. Its totient is φ = 29937600.

The previous prime is 61253557. The next prime is 61253609. The reversal of 61253577 is 77535216.

61253577 is a `hidden beast` number, since 61 + 25 + 3 + 577 = 666.

It is not a de Polignac number, because 61253577 - 2⁶ = 61253513 is a prime.

Its product of digits (44100) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (61253557) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1004127 + ... + 1004187.

Almost surely, 2^61253577 is an apocalyptic number.

It is an amenable number.

61253577 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

61253577 is a wasteful number, since it uses less digits than its factorization.

61253577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 61253577 is about 7826.4664440602. The cubic root of 61253577 is about 394.1944315081.

The spelling of 61253577 in words is "sixty-one million, two hundred fifty-three thousand, five hundred seventy-seven".