2352100013 has 16 divisors (see below), whose sum is σ = 2496130560. Its totient is φ = 2212425600.

The previous prime is 2352099973. The next prime is 2352100063. The reversal of 2352100013 is 3100012532.

It is not a de Polignac number, because 2352100013 - 2¹⁰ = 2352098989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2352099964 and 2352100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352100063) 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, 1462856 + ... + 1464462.

It is an arithmetic number, because the mean of its divisors is an integer number (156008160).

Almost surely, 2^2352100013 is an apocalyptic number.

It is an amenable number.

2352100013 is a deficient number, since it is larger than the sum of its proper divisors (144030547).

2352100013 is a wasteful number, since it uses less digits than its factorization.

2352100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2352100013 is about 48498.4537176187. The cubic root of 2352100013 is about 1329.8988019182.

Adding to 2352100013 its reverse (3100012532), we get a palindrome (5452112545).

The spelling of 2352100013 in words is "two billion, three hundred fifty-two million, one hundred thousand, thirteen".