25642564 has 24 divisors (see below), whose sum is σ = 45892728. Its totient is φ = 12533760.

The previous prime is 25642541. The next prime is 25642567. The reversal of 25642564 is 46524652.

It can be written as a sum of positive squares in 4 ways, for example, as 10758400 + 14884164 = 3280^2 + 3858^2 .

It is a super-3 number, since 3×25642564³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25642567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39684 + ... + 40324.

It is an arithmetic number, because the mean of its divisors is an integer number (1912197).

Almost surely, 2^25642564 is an apocalyptic number.

It is an amenable number.

25642564 is a deficient number, since it is larger than the sum of its proper divisors (20250164).

25642564 is a wasteful number, since it uses less digits than its factorization.

25642564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 25642564 is about 5063.8487339177. The cubic root of 25642564 is about 294.8857701948.

The spelling of 25642564 in words is "twenty-five million, six hundred forty-two thousand, five hundred sixty-four".