2264825313 has 32 divisors (see below), whose sum is σ = 3395963520. Its totient is φ = 1491652800.

The previous prime is 2264825287. The next prime is 2264825317. The reversal of 2264825313 is 3135284622.

2264825313 is a `hidden beast` number, since 2 + 2 + 648 + 2 + 5 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 2264825313 - 2¹⁴ = 2264808929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2264825317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391106 + ... + 2392052.

It is an arithmetic number, because the mean of its divisors is an integer number (106123860).

Almost surely, 2^2264825313 is an apocalyptic number.

It is an amenable number.

2264825313 is a deficient number, since it is larger than the sum of its proper divisors (1131138207).

2264825313 is a wasteful number, since it uses less digits than its factorization.

2264825313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2264825313 is about 47590.1808464729. The cubic root of 2264825313 is about 1313.2424220886.

It can be divided in two parts, 22648 and 25313, that added together give a square (47961 = 219²).

The spelling of 2264825313 in words is "two billion, two hundred sixty-four million, eight hundred twenty-five thousand, three hundred thirteen".