5583509073025 has 27 divisors (see below), whose sum is σ = 7497306111099. Its totient is φ = 4123093278720.

The previous prime is 5583509073007. The next prime is 5583509073031. The reversal of 5583509073025 is 5203709053855.

The square root of 5583509073025 is 2362945.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5578066174849 + 5442898176 = 2361793^2 + 73776^2 .

It is not a de Polignac number, because 5583509073025 - 2¹⁷ = 5583508941953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153573249 + ... + 153609601.

Almost surely, 2^{5583509073025} is an apocalyptic number.

5583509073025 is the 2362945-th square number.

5583509073025 is the 1181473-rd centered octagonal number.

It is an amenable number.

5583509073025 is a deficient number, since it is larger than the sum of its proper divisors (1913797038074).

5583509073025 is an frugal number, since it uses more digits than its factorization.

5583509073025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742 (or 36371 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 52.

The spelling of 5583509073025 in words is "five trillion, five hundred eighty-three billion, five hundred nine million, seventy-three thousand, twenty-five".