5109282432 has 96 divisors (see below), whose sum is σ = 14753646180. Its totient is φ = 1697169408.

The previous prime is 5109282389. The next prime is 5109282443. The reversal of 5109282432 is 2342829015.

It is a happy number.

5109282432 is a `hidden beast` number, since 510 + 92 + 8 + 24 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4577334336 + 531948096 = 67656^2 + 23064^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5109282432² = 52209533939887669248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329968 + ... + 345104.

Almost surely, 2^5109282432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376823090).

5109282432 is an abundant number, since it is smaller than the sum of its proper divisors (9644363748).

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

5109282432 is a wasteful number, since it uses less digits than its factorization.

5109282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15450 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5109282432 is about 71479.2447637774. The cubic root of 5109282432 is about 1722.3442921034.

The spelling of 5109282432 in words is "five billion, one hundred nine million, two hundred eighty-two thousand, four hundred thirty-two".