2906698385313 has 24 divisors (see below), whose sum is σ = 4253611980800. Its totient is φ = 1912414256064.

The previous prime is 2906698385273. The next prime is 2906698385321. The reversal of 2906698385313 is 3135838966092.

2906698385313 is a `hidden beast` number, since 2 + 9 + 0 + 6 + 6 + 98 + 3 + 8 + 531 + 3 = 666.

It is not a de Polignac number, because 2906698385313 - 2³⁸ = 2631820478369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2906698385413) 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 23 ways as a sum of consecutive naturals, for example, 678981 + ... + 2504877.

Almost surely, 2^{2906698385313} is an apocalyptic number.

It is an amenable number.

2906698385313 is a deficient number, since it is larger than the sum of its proper divisors (1346913595487).

2906698385313 is a wasteful number, since it uses less digits than its factorization.

2906698385313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828221 (or 1828218 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2906698385313 in words is "two trillion, nine hundred six billion, six hundred ninety-eight million, three hundred eighty-five thousand, three hundred thirteen".