2564337051 has 12 divisors (see below), whose sum is σ = 3713718528. Its totient is φ = 1705092144.

The previous prime is 2564337047. The next prime is 2564337073. The reversal of 2564337051 is 1507334652.

2564337051 is a `hidden beast` number, since 2 + 5 + 643 + 3 + 7 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 2564337051 - 2² = 2564337047 is a prime.

It is a super-2 number, since 2×2564337051² = 13151649022262753202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2564336997 and 2564337015.

It is not an unprimeable number, because it can be changed into a prime (2564337011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368520 + ... + 375413.

It is an arithmetic number, because the mean of its divisors is an integer number (309476544).

Almost surely, 2^2564337051 is an apocalyptic number.

2564337051 is a deficient number, since it is larger than the sum of its proper divisors (1149381477).

2564337051 is a wasteful number, since it uses less digits than its factorization.

2564337051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744322 (or 744319 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2564337051 is about 50639.2836738436. The cubic root of 2564337051 is about 1368.7528478329.

The spelling of 2564337051 in words is "two billion, five hundred sixty-four million, three hundred thirty-seven thousand, fifty-one".