2513623221 has 24 divisors (see below), whose sum is σ = 3841943040. Its totient is φ = 1579219200.

The previous prime is 2513623207. The next prime is 2513623261. The reversal of 2513623221 is 1223263152.

It is a happy number.

2513623221 is a `hidden beast` number, since 2 + 5 + 13 + 623 + 2 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2513623221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513623261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820 + ... + 71141.

It is an arithmetic number, because the mean of its divisors is an integer number (160080960).

Almost surely, 2^2513623221 is an apocalyptic number.

It is an amenable number.

2513623221 is a deficient number, since it is larger than the sum of its proper divisors (1328319819).

2513623221 is a wasteful number, since it uses less digits than its factorization.

2513623221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77177 (or 77174 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2513623221 is about 50136.0471218065. The cubic root of 2513623221 is about 1359.6696178804.

Adding to 2513623221 its reverse (1223263152), we get a palindrome (3736886373).

The spelling of 2513623221 in words is "two billion, five hundred thirteen million, six hundred twenty-three thousand, two hundred twenty-one".