5257021824 has 160 divisors (see below), whose sum is σ = 15694334040. Its totient is φ = 1746800640.

The previous prime is 5257021811. The next prime is 5257021837. The reversal of 5257021824 is 4281207525.

It is a happy number.

5257021824 is a `hidden beast` number, since 5 + 2 + 570 + 2 + 1 + 82 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5257021811) and next prime (5257021837).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4488759 + ... + 4489929.

Almost surely, 2^5257021824 is an apocalyptic number.

5257021824 is a gapful number since it is divisible by the number (54) 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 5257021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847167020).

5257021824 is an abundant number, since it is smaller than the sum of its proper divisors (10437312216).

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

5257021824 is a wasteful number, since it uses less digits than its factorization.

5257021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5257021824 is about 72505.3227287487. The cubic root of 5257021824 is about 1738.7878358895.

The spelling of 5257021824 in words is "five billion, two hundred fifty-seven million, twenty-one thousand, eight hundred twenty-four".