2153332013 has 64 divisors (see below), whose sum is σ = 2879815680. Its totient is φ = 1566259200.

The previous prime is 2153331989. The next prime is 2153332033. The reversal of 2153332013 is 3102333512.

It is a cyclic number.

It is not a de Polignac number, because 2153332013 - 2¹⁰ = 2153330989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2153332013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153332033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3478418 + ... + 3479036.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 2^2153332013 is an apocalyptic number.

2153332013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2153332013 is a deficient number, since it is larger than the sum of its proper divisors (726483667).

2153332013 is a wasteful number, since it uses less digits than its factorization.

2153332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 2153332013 is about 46404.0085876210. The cubic root of 2153332013 is about 1291.3292815740.

Adding to 2153332013 its reverse (3102333512), we get a palindrome (5255665525).

The spelling of 2153332013 in words is "two billion, one hundred fifty-three million, three hundred thirty-two thousand, thirteen".