2564737161 has 16 divisors (see below), whose sum is σ = 3908889600. Its totient is φ = 1465294608.

The previous prime is 2564737141. The next prime is 2564737163. The reversal of 2564737161 is 1617374652.

It is a happy number.

It is not a de Polignac number, because 2564737161 - 2⁷ = 2564737033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564737163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187410 + ... + 200628.

It is an arithmetic number, because the mean of its divisors is an integer number (244305600).

Almost surely, 2^2564737161 is an apocalyptic number.

2564737161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2564737161 is a deficient number, since it is larger than the sum of its proper divisors (1344152439).

2564737161 is a wasteful number, since it uses less digits than its factorization.

2564737161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468.

The product of its digits is 211680, while the sum is 42.

The square root of 2564737161 is about 50643.2341088126. The cubic root of 2564737161 is about 1368.8240323419.

The spelling of 2564737161 in words is "two billion, five hundred sixty-four million, seven hundred thirty-seven thousand, one hundred sixty-one".