5181122859264 has 567 divisors, whose sum is σ = 17079350168839. Its totient is φ = 1566759490560.

The previous prime is 5181122859221. The next prime is 5181122859277. The reversal of 5181122859264 is 4629582211815.

It is a happy number.

The square root of 5181122859264 is 2276208.

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

5181122859264 is a `hidden beast` number, since 5 + 18 + 1 + 12 + 28 + 592 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5181122859264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10816540177 + ... + 10816540655.

Almost surely, 2^{5181122859264} is an apocalyptic number.

5181122859264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5181122859264 is the 2276208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181122859264

5181122859264 is an abundant number, since it is smaller than the sum of its proper divisors (11898227309575).

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

5181122859264 is an frugal number, since it uses more digits than its factorization.

5181122859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 495 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 5181122859264 in words is "five trillion, one hundred eighty-one billion, one hundred twenty-two million, eight hundred fifty-nine thousand, two hundred sixty-four".