131599896289 has 27 divisors (see below), whose sum is σ = 141657548409. Its totient is φ = 122237968320.

The previous prime is 131599896287. The next prime is 131599896317. The reversal of 131599896289 is 982698995131.

The square root of 131599896289 is 362767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122818707025 + 8781189264 = 350455^2 + 93708^2 .

It is not a de Polignac number, because 131599896289 - 2¹ = 131599896287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131599896287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 420446797 + ... + 420447109.

It is an arithmetic number, because the mean of its divisors is an integer number (5246575867).

Almost surely, 2^131599896289 is an apocalyptic number.

131599896289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131599896289 is the 362767-th square number.

131599896289 is the 181384-th centered octagonal number.

It is an amenable number.

131599896289 is a deficient number, since it is larger than the sum of its proper divisors (10057652120).

131599896289 is an frugal number, since it uses more digits than its factorization.

131599896289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 70.

The spelling of 131599896289 in words is "one hundred thirty-one billion, five hundred ninety-nine million, eight hundred ninety-six thousand, two hundred eighty-nine".