5181408324 has 189 divisors, whose sum is σ = 14381959599. Its totient is φ = 1632551760.

The previous prime is 5181408307. The next prime is 5181408343. The reversal of 5181408324 is 4238041815.

The square root of 5181408324 is 71982.

It is a perfect power (a square), and thus also a powerful number.

5181408324 is a `hidden beast` number, since 518 + 1 + 40 + 83 + 24 = 666.

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 62 ways as a sum of consecutive naturals, for example, 120497847 + ... + 120497889.

Almost surely, 2^5181408324 is an apocalyptic number.

5181408324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5181408324 is the 71982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181408324

5181408324 is an abundant number, since it is smaller than the sum of its proper divisors (9200551275).

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

5181408324 is an equidigital number, since it uses as much as digits as its factorization.

5181408324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 5181408324 is about 1730.4110224347.

Multiplying 5181408324 by its sum of digits (36), we get a square (186530699664 = 431892²).

5181408324 divided by its sum of digits (36) gives a square (143928009 = 11997²).

The spelling of 5181408324 in words is "five billion, one hundred eighty-one million, four hundred eight thousand, three hundred twenty-four".