31780763578249 has 81 divisors (see below), whose sum is σ = 38790213846759. Its totient is φ = 25961101508160.

The previous prime is 31780763578189. The next prime is 31780763578283. The reversal of 31780763578249 is 94287536708713.

The square root of 31780763578249 is 5637443.

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., 202747575625 + 31578016002624 = 450275^2 + 5619432^2 .

It is not a de Polignac number, because 31780763578249 - 2⁷ = 31780763578121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31780763578049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101535985717 + ... + 101535986029.

It is a 1-persistent number, because it is pandigital, but 2⋅31780763578249 = 63561527156498 is not.

Almost surely, 2^{31780763578249} is an apocalyptic number.

31780763578249 is the 5637443-rd square number.

31780763578249 is the 2818722-nd centered octagonal number.

It is an amenable number.

31780763578249 is a deficient number, since it is larger than the sum of its proper divisors (7009450268510).

31780763578249 is an frugal number, since it uses more digits than its factorization.

31780763578249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 31780763578249 in words is "thirty-one trillion, seven hundred eighty billion, seven hundred sixty-three million, five hundred seventy-eight thousand, two hundred forty-nine".