131577007 has 2 divisors, whose sum is σ = 131577008. Its totient is φ = 131577006.

The previous prime is 131577001. The next prime is 131577013. The reversal of 131577007 is 700775131.

It is a balanced prime because it is at equal distance from previous prime (131577001) and next prime (131577013).

It is a cyclic number.

It is not a de Polignac number, because 131577007 - 2²³ = 123188399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131577007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131577001) 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, 65788503 + 65788504.

It is an arithmetic number, because the mean of its divisors is an integer number (65788504).

Almost surely, 2^131577007 is an apocalyptic number.

131577007 is a deficient number, since it is larger than the sum of its proper divisors (1).

131577007 is an equidigital number, since it uses as much as digits as its factorization.

131577007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5145, while the sum is 31.

The square root of 131577007 is about 11470.7021145177. The cubic root of 131577007 is about 508.6198838991.

It can be divided in two parts, 13157 and 7007, that added together give a square (20164 = 142²).

The spelling of 131577007 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, seven".