5287306752 has 480 divisors, whose sum is σ = 19518250752. Its totient is φ = 1391468544.

The previous prime is 5287306727. The next prime is 5287306763. The reversal of 5287306752 is 2576037825.

5287306752 is a `hidden beast` number, since 528 + 73 + 0 + 6 + 7 + 52 = 666.

It is a super-2 number, since 2×5287306752² = 55911225379489579008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5287306698 and 5287306707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321623 + ... + 11322089.

Almost surely, 2^5287306752 is an apocalyptic number.

5287306752 is a gapful number since it is divisible by the number (52) 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 5287306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759125376).

5287306752 is an abundant number, since it is smaller than the sum of its proper divisors (14230944000).

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

5287306752 is an equidigital number, since it uses as much as digits as its factorization.

5287306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5287306752 is about 72713.8690484835. The cubic root of 5287306752 is about 1742.1204113921.

The spelling of 5287306752 in words is "five billion, two hundred eighty-seven million, three hundred six thousand, seven hundred fifty-two".