5313585600 has 252 divisors, whose sum is σ = 19880747640. Its totient is φ = 1342310400.

The previous prime is 5313585533. The next prime is 5313585631. The reversal of 5313585600 is 65853135.

5313585600 is a `hidden beast` number, since 5 + 3 + 13 + 585 + 60 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 263890 + ... + 283310.

Almost surely, 2^5313585600 is an apocalyptic number.

5313585600 is a gapful number since it is divisible by the number (50) 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 5313585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940373820).

5313585600 is an abundant number, since it is smaller than the sum of its proper divisors (14567162040).

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

5313585600 is a wasteful number, since it uses less digits than its factorization.

5313585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19468 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5313585600 is about 72894.3454597131. The cubic root of 5313585600 is about 1745.0018582203.

The spelling of 5313585600 in words is "five billion, three hundred thirteen million, five hundred eighty-five thousand, six hundred".