7485613920225 has 243 divisors, whose sum is σ = 15862542296211. Its totient is φ = 3364604913600.

The previous prime is 7485613920179. The next prime is 7485613920241. The reversal of 7485613920225 is 5220293165847.

The square root of 7485613920225 is 2735985.

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

7485613920225 is a `hidden beast` number, since 7 + 4 + 8 + 561 + 39 + 20 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2694821011281 + 4790792908944 = 1641591^2 + 2188788^2 .

It is not a de Polignac number, because 7485613920225 - 2²¹ = 7485611823073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 20396767992 + ... + 20396768358.

It is a 1-persistent number, because it is pandigital, but 2⋅7485613920225 = 14971227840450 is not.

Almost surely, 2^{7485613920225} is an apocalyptic number.

7485613920225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7485613920225 is the 2735985-th square number.

7485613920225 is the 1367993-rd centered octagonal number.

It is an amenable number.

7485613920225 is an abundant number, since it is smaller than the sum of its proper divisors (8376928375986).

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

7485613920225 is an equidigital number, since it uses as much as digits as its factorization.

7485613920225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 74856 and 13920225, that added together give a square (13995081 = 3741²).

The spelling of 7485613920225 in words is "seven trillion, four hundred eighty-five billion, six hundred thirteen million, nine hundred twenty thousand, two hundred twenty-five".