4251564288 has 90 divisors (see below), whose sum is σ = 12677457254. Its totient is φ = 1417181184.

The previous prime is 4251564287. The next prime is 4251564313. The reversal of 4251564288 is 8824651524.

4251564288 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 564 + 2 + 88 = 666.

4251564288 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 can be written as a sum of positive squares in only one way, i.e., 4236447744 + 15116544 = 65088^2 + 3888^2 .

It is not an unprimeable number, because it can be changed into a prime (4251564287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81781 + ... + 123252.

Almost surely, 2^4251564288 is an apocalyptic number.

4251564288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4251564288 is an abundant number, since it is smaller than the sum of its proper divisors (8425892966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4251564288 is an equidigital number, since it uses as much as digits as its factorization.

4251564288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205061 (or 205038 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4251564288 is about 65204.0204895373. The cubic root of 4251564288 is about 1620.0046090404.

The spelling of 4251564288 in words is "four billion, two hundred fifty-one million, five hundred sixty-four thousand, two hundred eighty-eight".