2564208153 has 24 divisors (see below), whose sum is σ = 4162197312. Its totient is φ = 1509365088.

The previous prime is 2564208131. The next prime is 2564208181. The reversal of 2564208153 is 3518024652.

2564208153 is a `hidden beast` number, since 2 + 5 + 642 + 0 + 8 + 1 + 5 + 3 = 666.

2564208153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564208153 - 2¹² = 2564204057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564208553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473751 + ... + 479132.

It is an arithmetic number, because the mean of its divisors is an integer number (173424888).

Almost surely, 2^2564208153 is an apocalyptic number.

2564208153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2564208153 is a deficient number, since it is larger than the sum of its proper divisors (1597989159).

2564208153 is a wasteful number, since it uses less digits than its factorization.

2564208153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952925 (or 952922 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2564208153 is about 50638.0109502733. The cubic root of 2564208153 is about 1368.7299137104.

The spelling of 2564208153 in words is "two billion, five hundred sixty-four million, two hundred eight thousand, one hundred fifty-three".