131577653 has 2 divisors, whose sum is σ = 131577654. Its totient is φ = 131577652.

The previous prime is 131577647. The next prime is 131577673. The reversal of 131577653 is 356775131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103083409 + 28494244 = 10153^2 + 5338^2 .

It is a cyclic number.

It is not a de Polignac number, because 131577653 - 2²² = 127383349 is a prime.

It is equal to p_7462586 and since 131577653 and 7462586 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131577623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65788826 + 65788827.

It is an arithmetic number, because the mean of its divisors is an integer number (65788827).

Almost surely, 2^131577653 is an apocalyptic number.

It is an amenable number.

131577653 is a deficient number, since it is larger than the sum of its proper divisors (1).

131577653 is an equidigital number, since it uses as much as digits as its factorization.

131577653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66150, while the sum is 38.

The square root of 131577653 is about 11470.7302731779. The cubic root of 131577653 is about 508.6207162834.

The spelling of 131577653 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, six hundred fifty-three".