2513523201 has 16 divisors (see below), whose sum is σ = 3836544000. Its totient is φ = 1433893968.

The previous prime is 2513523169. The next prime is 2513523203. The reversal of 2513523201 is 1023253152.

It is a happy number.

It is not a de Polignac number, because 2513523201 - 2⁵ = 2513523169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2513523203) 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, 87331 + ... + 112488.

It is an arithmetic number, because the mean of its divisors is an integer number (239784000).

Almost surely, 2^2513523201 is an apocalyptic number.

2513523201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2513523201 is a deficient number, since it is larger than the sum of its proper divisors (1323020799).

2513523201 is a wasteful number, since it uses less digits than its factorization.

2513523201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200428.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2513523201 is about 50135.0496259852. The cubic root of 2513523201 is about 1359.6515833611.

Adding to 2513523201 its reverse (1023253152), we get a palindrome (3536776353).

The spelling of 2513523201 in words is "two billion, five hundred thirteen million, five hundred twenty-three thousand, two hundred one".