2513919321 has 27 divisors (see below), whose sum is σ = 3776788821. Its totient is φ = 1673238708.

The previous prime is 2513919263. The next prime is 2513919347. The reversal of 2513919321 is 1239193152.

The square root of 2513919321 is 50139.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 2513919321 - 2⁷ = 2513919193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2513919361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4060950 + ... + 4061568.

Almost surely, 2^2513919321 is an apocalyptic number.

2513919321 is the 50139-th square number.

2513919321 is the 25070-th centered octagonal number.

It is an amenable number.

2513919321 is a deficient number, since it is larger than the sum of its proper divisors (1262869500).

2513919321 is an frugal number, since it uses more digits than its factorization.

2513919321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 622 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The cubic root of 2513919321 is about 1359.7230046095.

Multiplying 2513919321 by its sum of digits (36), we get a square (90501095556 = 300834²).

The spelling of 2513919321 in words is "two billion, five hundred thirteen million, nine hundred nineteen thousand, three hundred twenty-one".