3312510213249 has 12 divisors (see below), whose sum is σ = 4784763574500. Its totient is φ = 2208327865344.

The previous prime is 3312510213217. The next prime is 3312510213251. The reversal of 3312510213249 is 9423120152133.

3312510213249 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 510 + 2 + 132 + 4 + 9 = 666.

3312510213249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 810102603249 + 2502407610000 = 900057^2 + 1581900^2 .

It is not a de Polignac number, because 3312510213249 - 2⁵ = 3312510213217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3312510213349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870177 + ... + 2717025.

It is an arithmetic number, because the mean of its divisors is an integer number (398730297875).

Almost surely, 2^{3312510213249} is an apocalyptic number.

It is an amenable number.

3312510213249 is a deficient number, since it is larger than the sum of its proper divisors (1472253361251).

3312510213249 is a wasteful number, since it uses less digits than its factorization.

3312510213249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046144 (or 2046141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3312510213249 in words is "three trillion, three hundred twelve billion, five hundred ten million, two hundred thirteen thousand, two hundred forty-nine".