3338253133506 has 24 divisors (see below), whose sum is σ = 7235277694320. Its totient is φ = 1112382443736.

The previous prime is 3338253133499. The next prime is 3338253133513. The reversal of 3338253133506 is 6053313528333.

3338253133506 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 2 + 5 + 3 + 133 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (3338253133499) and next prime (3338253133513).

It is a super-2 number, since 2×3338253133506² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30660880 + ... + 30769563.

It is an arithmetic number, because the mean of its divisors is an integer number (301469903930).

Almost surely, 2^{3338253133506} is an apocalyptic number.

3338253133506 is an abundant number, since it is smaller than the sum of its proper divisors (3897024560814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3338253133506 is a wasteful number, since it uses less digits than its factorization.

3338253133506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61433470 (or 61433467 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 3338253133506 in words is "three trillion, three hundred thirty-eight billion, two hundred fifty-three million, one hundred thirty-three thousand, five hundred six".