5685313536 has 476 divisors, whose sum is σ = 20629526832. Its totient is φ = 1528823808.

The previous prime is 5685313523. The next prime is 5685313537. The reversal of 5685313536 is 6353135865.

It is a happy number.

5685313536 is a `hidden beast` number, since 5 + 6 + 85 + 31 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (476).

It is a junction number, because it is equal to n+sod(n) for n = 5685313491 and 5685313500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685313537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 334430200 + ... + 334430216.

Almost surely, 2^5685313536 is an apocalyptic number.

5685313536 is a gapful number since it is divisible by the number (56) 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 5685313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314763416).

5685313536 is an abundant number, since it is smaller than the sum of its proper divisors (14944213296).

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

5685313536 is an frugal number, since it uses more digits than its factorization.

5685313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 5685313536 is about 75401.0181363621. The cubic root of 5685313536 is about 1784.7804772054.

The spelling of 5685313536 in words is "five billion, six hundred eighty-five million, three hundred thirteen thousand, five hundred thirty-six".