5257552016 has 90 divisors (see below), whose sum is σ = 11087481762. Its totient is φ = 2413370880.

The previous prime is 5257551983. The next prime is 5257552019. The reversal of 5257552016 is 6102557525.

It can be written as a sum of positive squares in 3 ways, for example, as 537312400 + 4720239616 = 23180^2 + 68704^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257552019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35285510 + ... + 35285658.

Almost surely, 2^5257552016 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 5257552016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543740881).

5257552016 is an abundant number, since it is smaller than the sum of its proper divisors (5829929746).

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

5257552016 is a wasteful number, since it uses less digits than its factorization.

5257552016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The square root of 5257552016 is about 72508.9788646896. The cubic root of 5257552016 is about 1738.8462885293.

The spelling of 5257552016 in words is "five billion, two hundred fifty-seven million, five hundred fifty-two thousand, sixteen".