2959813213 has 16 divisors (see below), whose sum is σ = 3544909056. Its totient is φ = 2416233600.

The previous prime is 2959813211. The next prime is 2959813223. The reversal of 2959813213 is 3123189592.

2959813213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2959813213 - 2¹ = 2959813211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2959813213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959813211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938 + ... + 76963.

It is an arithmetic number, because the mean of its divisors is an integer number (221556816).

Almost surely, 2^2959813213 is an apocalyptic number.

2959813213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2959813213 is a deficient number, since it is larger than the sum of its proper divisors (585095843).

2959813213 is a wasteful number, since it uses less digits than its factorization.

2959813213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79164.

The product of its digits is 116640, while the sum is 43.

The square root of 2959813213 is about 54404.1654011896. The cubic root of 2959813213 is about 1435.7806681111.

The spelling of 2959813213 in words is "two billion, nine hundred fifty-nine million, eight hundred thirteen thousand, two hundred thirteen".