5209374976 has 81 divisors (see below), whose sum is σ = 11292349341. Its totient is φ = 2397398016.

The previous prime is 5209374971. The next prime is 5209374977. The reversal of 5209374976 is 6794739025.

The square root of 5209374976 is 72176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 770617600 + 4438757376 = 27760^2 + 66624^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5209374971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15012435 + ... + 15012781.

Almost surely, 2^5209374976 is an apocalyptic number.

5209374976 is the 72176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209374976

5209374976 is an abundant number, since it is smaller than the sum of its proper divisors (6082974365).

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

5209374976 is an frugal number, since it uses more digits than its factorization.

5209374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The cubic root of 5209374976 is about 1733.5187357237.

The spelling of 5209374976 in words is "five billion, two hundred nine million, three hundred seventy-four thousand, nine hundred seventy-six".