131641980625 has 45 divisors (see below), whose sum is σ = 172235905149. Its totient is φ = 100575090000.

The previous prime is 131641980607. The next prime is 131641980629. The reversal of 131641980625 is 526089146131.

The square root of 131641980625 is 362825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 10320731281 + 121321249344 = 101591^2 + 348312^2 .

It is not a de Polignac number, because 131641980625 - 2¹³ = 131641972433 is a prime.

It is a super-2 number, since 2×131641980625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131641980629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 208624060 + ... + 208624690.

Almost surely, 2^131641980625 is an apocalyptic number.

131641980625 is the 362825-th square number.

131641980625 is the 181413-rd centered octagonal number.

It is an amenable number.

131641980625 is a deficient number, since it is larger than the sum of its proper divisors (40593924524).

131641980625 is an frugal number, since it uses more digits than its factorization.

131641980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 131641980625 in words is "one hundred thirty-one billion, six hundred forty-one million, nine hundred eighty thousand, six hundred twenty-five".