5153857632 has 960 divisors, whose sum is σ = 21076070400. Its totient is φ = 1219276800.

The previous prime is 5153857607. The next prime is 5153857633. The reversal of 5153857632 is 2367583515.

5153857632 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 8 + 5 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153857633) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 166253457 + ... + 166253487.

It is an arithmetic number, because the mean of its divisors is an integer number (21954240).

Almost surely, 2^5153857632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538035200).

5153857632 is an abundant number, since it is smaller than the sum of its proper divisors (15922212768).

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

5153857632 is a wasteful number, since it uses less digits than its factorization.

5153857632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 5153857632 is about 71790.3728364744. The cubic root of 5153857632 is about 1727.3385778800.

The spelling of 5153857632 in words is "five billion, one hundred fifty-three million, eight hundred fifty-seven thousand, six hundred thirty-two".