2564523207 has 16 divisors (see below), whose sum is σ = 3964481280. Its totient is φ = 1635347736.

The previous prime is 2564523187. The next prime is 2564523223. The reversal of 2564523207 is 7023254652.

2564523207 is a `hidden beast` number, since 2 + 5 + 645 + 2 + 3 + 2 + 0 + 7 = 666.

2564523207 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564523207 - 2⁷ = 2564523079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564523277) 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, 2064213 + ... + 2065454.

It is an arithmetic number, because the mean of its divisors is an integer number (247780080).

Almost surely, 2^2564523207 is an apocalyptic number.

2564523207 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2564523207 is a deficient number, since it is larger than the sum of its proper divisors (1399958073).

2564523207 is a wasteful number, since it uses less digits than its factorization.

2564523207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129699 (or 4129693 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2564523207 is about 50641.1216996622. The cubic root of 2564523207 is about 1368.7859682047.

Adding to 2564523207 its reverse (7023254652), we get a palindrome (9587777859).

The spelling of 2564523207 in words is "two billion, five hundred sixty-four million, five hundred twenty-three thousand, two hundred seven".