5506382025 has 135 divisors (see below), whose sum is σ = 10947852399. Its totient is φ = 2735493120.

The previous prime is 5506382023. The next prime is 5506382033. The reversal of 5506382025 is 5202836055.

It is a happy number.

The square root of 5506382025 is 74205.

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

5506382025 is a `hidden beast` number, since 550 + 6 + 3 + 82 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2192767929 + 3313614096 = 46827^2 + 57564^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5506382025 - 2¹ = 5506382023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5506382023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56766777 + ... + 56766873.

Almost surely, 2^5506382025 is an apocalyptic number.

5506382025 is the 74205-th square number.

5506382025 is the 37103-rd centered octagonal number.

It is an amenable number.

5506382025 is a deficient number, since it is larger than the sum of its proper divisors (5441470374).

5506382025 is an equidigital number, since it uses as much as digits as its factorization.

5506382025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 5506382025 is about 1765.8566543989.

Multiplying 5506382025 by its sum of digits (36), we get a square (198229752900 = 445230²).

The spelling of 5506382025 in words is "five billion, five hundred six million, three hundred eighty-two thousand, twenty-five".