2564748415059 has 16 divisors (see below), whose sum is σ = 3621507563520. Its totient is φ = 1608948897920.

The previous prime is 2564748415027. The next prime is 2564748415063. The reversal of 2564748415059 is 9505148474652.

It is a cyclic number.

It is not a de Polignac number, because 2564748415059 - 2⁵ = 2564748415027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564748414993 and 2564748415011.

It is not an unprimeable number, because it can be changed into a prime (2564748415259) 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 15 ways as a sum of consecutive naturals, for example, 4493907 + ... + 5032364.

It is an arithmetic number, because the mean of its divisors is an integer number (226344222720).

Almost surely, 2^{2564748415059} is an apocalyptic number.

2564748415059 is a deficient number, since it is larger than the sum of its proper divisors (1056759148461).

2564748415059 is a wasteful number, since it uses less digits than its factorization.

2564748415059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531570.

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 2564748415059 in words is "two trillion, five hundred sixty-four billion, seven hundred forty-eight million, four hundred fifteen thousand, fifty-nine".