131577061 has 32 divisors (see below), whose sum is σ = 168917760. Its totient is φ = 99532800.

The previous prime is 131577049. The next prime is 131577067. The reversal of 131577061 is 160775131.

It is a 7-Lehmer number, since φ(131577061) divides (131577061-1)⁷.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131577061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131577067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511845 + ... + 512101.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2^131577061 is an apocalyptic number.

131577061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131577061 is a deficient number, since it is larger than the sum of its proper divisors (37340699).

131577061 is a wasteful number, since it uses less digits than its factorization.

131577061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445.

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

The square root of 131577061 is about 11470.7044683402. The cubic root of 131577061 is about 508.6199534793.

The spelling of 131577061 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, sixty-one".