5177281536 has 440 divisors, whose sum is σ = 18221837216. Its totient is φ = 1433272320.

The previous prime is 5177281493. The next prime is 5177281591. The reversal of 5177281536 is 6351827715.

It is a happy number.

5177281536 is a `hidden beast` number, since 517 + 7 + 2 + 81 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5177281491 and 5177281500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21482376 + ... + 21482616.

Almost surely, 2^5177281536 is an apocalyptic number.

5177281536 is a gapful number since it is divisible by the number (56) 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 5177281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110918608).

5177281536 is an abundant number, since it is smaller than the sum of its proper divisors (13044555680).

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

5177281536 is a wasteful number, since it uses less digits than its factorization.

5177281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 290 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5177281536 is about 71953.3288736525. The cubic root of 5177281536 is about 1729.9514989688.

The spelling of 5177281536 in words is "five billion, one hundred seventy-seven million, two hundred eighty-one thousand, five hundred thirty-six".