5289852801024 has 637 divisors, whose sum is σ = 17446401455071. Its totient is φ = 1602985697280.

The previous prime is 5289852800933. The next prime is 5289852801067. The reversal of 5289852801024 is 4201082589825.

The square root of 5289852801024 is 2299968.

The cubic root of 5289852801024 is 17424.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

5289852801024 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 8 + 528 + 0 + 102 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 480895709179 + ... + 480895709189.

Almost surely, 2^{5289852801024} is an apocalyptic number.

5289852801024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5289852801024 is the 2299968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5289852801024

5289852801024 is an abundant number, since it is smaller than the sum of its proper divisors (12156548654047).

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

5289852801024 is an frugal number, since it uses more digits than its factorization.

5289852801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 5289852801024 in words is "five trillion, two hundred eighty-nine billion, eight hundred fifty-two million, eight hundred one thousand, twenty-four".