5258436024384 has 105 divisors (see below), whose sum is σ = 15588141133917. Its totient is φ = 1752756973056.

The previous prime is 5258436024341. The next prime is 5258436024481. The reversal of 5258436024384 is 4834206348525.

The square root of 5258436024384 is 2293128.

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

5258436024384 is a `hidden beast` number, since 5 + 2 + 584 + 3 + 6 + 0 + 24 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2648014161984 + 2610421862400 = 1627272^2 + 1615680^2 .

It is a super-2 number, since 2×5258436024384² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5258436024384.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 165089292 + ... + 165121140.

Almost surely, 2^{5258436024384} is an apocalyptic number.

5258436024384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5258436024384 is the 2293128-th square number.

It is an amenable number.

5258436024384 is an abundant number, since it is smaller than the sum of its proper divisors (10329705109533).

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

5258436024384 is an frugal number, since it uses more digits than its factorization.

5258436024384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63722 (or 31854 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 5258436024384 in words is "five trillion, two hundred fifty-eight billion, four hundred thirty-six million, twenty-four thousand, three hundred eighty-four".