5151233664 has 128 divisors (see below), whose sum is σ = 15490699200. Its totient is φ = 1684620288.

The previous prime is 5151233657. The next prime is 5151233669. The reversal of 5151233664 is 4663321515.

5151233664 is a `hidden beast` number, since 51 + 512 + 3 + 36 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5151233664² = 53070416522253729792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5151233669) 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, 169107 + ... + 197229.

Almost surely, 2^5151233664 is an apocalyptic number.

5151233664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745349600).

5151233664 is an abundant number, since it is smaller than the sum of its proper divisors (10339465536).

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

5151233664 is a wasteful number, since it uses less digits than its factorization.

5151233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28199 (or 28181 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5151233664 is about 71772.0953017257. The cubic root of 5151233664 is about 1727.0453832222.

The spelling of 5151233664 in words is "five billion, one hundred fifty-one million, two hundred thirty-three thousand, six hundred sixty-four".