61577131 has 16 divisors (see below), whose sum is σ = 76946688. Its totient is φ = 47872800.

The previous prime is 61577123. The next prime is 61577143. The reversal of 61577131 is 13177516.

It is a cyclic number.

It is not a de Polignac number, because 61577131 - 2³ = 61577123 is a prime.

It is a super-2 number, since 2×61577131² = 7583486124382322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61577093 and 61577102.

It is not an unprimeable number, because it can be changed into a prime (61577171) 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 15 ways as a sum of consecutive naturals, for example, 55896 + ... + 56986.

It is an arithmetic number, because the mean of its divisors is an integer number (4809168).

Almost surely, 2^61577131 is an apocalyptic number.

61577131 is a deficient number, since it is larger than the sum of its proper divisors (15369557).

61577131 is a wasteful number, since it uses less digits than its factorization.

61577131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842.

The product of its digits is 4410, while the sum is 31.

The square root of 61577131 is about 7847.1097226941. The cubic root of 61577131 is about 394.8872850428.

The spelling of 61577131 in words is "sixty-one million, five hundred seventy-seven thousand, one hundred thirty-one".