2564288320581 has 160 divisors (see below), whose sum is σ = 4365691368192. Its totient is φ = 1488080056320.

The previous prime is 2564288320571. The next prime is 2564288320619. The reversal of 2564288320581 is 1850238824652.

2564288320581 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 28 + 8 + 32 + 0 + 581 = 666.

It is not a de Polignac number, because 2564288320581 - 2¹⁴ = 2564288304197 is a prime.

It is a super-2 number, since 2×2564288320581² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564288320541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1232237461 + ... + 1232239541.

Almost surely, 2^{2564288320581} is an apocalyptic number.

It is an amenable number.

2564288320581 is a deficient number, since it is larger than the sum of its proper divisors (1801403047611).

2564288320581 is a wasteful number, since it uses less digits than its factorization.

2564288320581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2564288320581 in words is "two trillion, five hundred sixty-four billion, two hundred eighty-eight million, three hundred twenty thousand, five hundred eighty-one".