131259709800769 has 27 divisors (see below), whose sum is σ = 144601102750377. Its totient is φ = 119059720296000.

The previous prime is 131259709800761. The next prime is 131259709800773. The reversal of 131259709800769 is 967008907952131.

The square root of 131259709800769 is 11456863.

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 12885048680625 + 118374661120144 = 3589575^2 + 10880012^2 .

It is not a de Polignac number, because 131259709800769 - 2³ = 131259709800761 is a prime.

It is a super-2 number, since 2×131259709800769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131259709800761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75741320427 + ... + 75741322159.

Almost surely, 2^{131259709800769} is an apocalyptic number.

131259709800769 is the 11456863-rd square number.

131259709800769 is the 5728432-nd centered octagonal number.

It is an amenable number.

131259709800769 is a deficient number, since it is larger than the sum of its proper divisors (13341392949608).

131259709800769 is an frugal number, since it uses more digits than its factorization.

131259709800769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 131259709800769 in words is "one hundred thirty-one trillion, two hundred fifty-nine billion, seven hundred nine million, eight hundred thousand, seven hundred sixty-nine".