5352977952 has 432 divisors, whose sum is σ = 19148619672. Its totient is φ = 1408942080.

The previous prime is 5352977921. The next prime is 5352977953. The reversal of 5352977952 is 2597792535.

It can be written as a sum of positive squares in 4 ways, for example, as 4172643216 + 1180334736 = 64596^2 + 34356^2 .

It is a super-2 number, since 2×5352977952² = 57308745909196228608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5352977953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12714702 + ... + 12715122.

Almost surely, 2^5352977952 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 5352977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574309836).

5352977952 is an abundant number, since it is smaller than the sum of its proper divisors (13795641720).

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

5352977952 is a wasteful number, since it uses less digits than its factorization.

5352977952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its digits is 5953500, while the sum is 54.

The square root of 5352977952 is about 73164.0482204204. The cubic root of 5352977952 is about 1749.3034454530.

The spelling of 5352977952 in words is "five billion, three hundred fifty-two million, nine hundred seventy-seven thousand, nine hundred fifty-two".