131785698529 has 9 divisors (see below), whose sum is σ = 133694125779. Its totient is φ = 129904150320.

The previous prime is 131785698497. The next prime is 131785698559. The reversal of 131785698529 is 925896587131.

It is a happy number.

The square root of 131785698529 is 363023.

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

It can be written as a sum of positive squares in only one way, i.e., 1285581025 + 130500117504 = 35855^2 + 361248^2 .

It is not a de Polignac number, because 131785698529 - 2⁵ = 131785698497 is a prime.

Its product of digits (32659200) is a multiple of the sum of its prime divisors (5184).

It is not an unprimeable number, because it can be changed into a prime (131785698559) 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 in 8 ways as a sum of consecutive naturals, for example, 25772077 + ... + 25777189.

Almost surely, 2^131785698529 is an apocalyptic number.

131785698529 is the 363023-rd square number.

131785698529 is the 181512-nd centered octagonal number.

It is an amenable number.

131785698529 is a deficient number, since it is larger than the sum of its proper divisors (1908427250).

131785698529 is an frugal number, since it uses more digits than its factorization.

131785698529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 5184 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 64.

Multiplying 131785698529 by its sum of digits (64), we get a square (8434284705856 = 2904184²).

The spelling of 131785698529 in words is "one hundred thirty-one billion, seven hundred eighty-five million, six hundred ninety-eight thousand, five hundred twenty-nine".