7102005813 has 48 divisors (see below), whose sum is σ = 11841880960. Its totient is φ = 4017641472.

The previous prime is 7102005809. The next prime is 7102005847. The reversal of 7102005813 is 3185002017.

It is not a de Polignac number, because 7102005813 - 2² = 7102005809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7102005413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3790845 + ... + 3792717.

Almost surely, 2^7102005813 is an apocalyptic number.

It is an amenable number.

7102005813 is a deficient number, since it is larger than the sum of its proper divisors (4739875147).

7102005813 is a wasteful number, since it uses less digits than its factorization.

7102005813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7102005813 is about 84273.3992016461. The cubic root of 7102005813 is about 1922.1783195011.

The spelling of 7102005813 in words is "seven billion, one hundred two million, five thousand, eight hundred thirteen".