2564351306 has 24 divisors (see below), whose sum is σ = 4297336932. Its totient is φ = 1146499200.

The previous prime is 2564351269. The next prime is 2564351357. The reversal of 2564351306 is 6031534652.

It can be written as a sum of positive squares in 2 ways, for example, as 2554797025 + 9554281 = 50545^2 + 3091^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72095 + ... + 101618.

Almost surely, 2^2564351306 is an apocalyptic number.

2564351306 is a deficient number, since it is larger than the sum of its proper divisors (1732985626).

2564351306 is a wasteful number, since it uses less digits than its factorization.

2564351306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173798 (or 173787 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2564351306 is about 50639.4244240592. The cubic root of 2564351306 is about 1368.7553841006.

Adding to 2564351306 its reverse (6031534652), we get a palindrome (8595885958).

The spelling of 2564351306 in words is "two billion, five hundred sixty-four million, three hundred fifty-one thousand, three hundred six".