5085313632 has 144 divisors (see below), whose sum is σ = 17499579552. Its totient is φ = 1367470080.

The previous prime is 5085313613. The next prime is 5085313669. The reversal of 5085313632 is 2363135805.

5085313632 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 3 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39919 + ... + 108462.

It is an arithmetic number, because the mean of its divisors is an integer number (121524858).

Almost surely, 2^5085313632 is an apocalyptic number.

It is an amenable number.

5085313632 is an abundant number, since it is smaller than the sum of its proper divisors (12414265920).

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

5085313632 is a wasteful number, since it uses less digits than its factorization.

5085313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148421 (or 148410 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5085313632 is about 71311.3850096883. The cubic root of 5085313632 is about 1719.6467671955.

The spelling of 5085313632 in words is "five billion, eighty-five million, three hundred thirteen thousand, six hundred thirty-two".