131082577 has 16 divisors (see below), whose sum is σ = 141753600. Its totient is φ = 120821760.

The previous prime is 131082571. The next prime is 131082583. The reversal of 131082577 is 775280131.

It is an interprime number because it is at equal distance from previous prime (131082571) and next prime (131082583).

It is not a de Polignac number, because 131082577 - 2¹⁹ = 130558289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131082571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204177 + ... + 204817.

It is an arithmetic number, because the mean of its divisors is an integer number (8859600).

Almost surely, 2^131082577 is an apocalyptic number.

It is an amenable number.

131082577 is a deficient number, since it is larger than the sum of its proper divisors (10671023).

131082577 is a wasteful number, since it uses less digits than its factorization.

131082577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 131082577 is about 11449.1299669451. The cubic root of 131082577 is about 507.9819999512.

The spelling of 131082577 in words is "one hundred thirty-one million, eighty-two thousand, five hundred seventy-seven".