7205815453225 has 27 divisors (see below), whose sum is σ = 8974409832687. Its totient is φ = 5739473018880.

The previous prime is 7205815453201. The next prime is 7205815453229. The reversal of 7205815453225 is 5223545185027.

The square root of 7205815453225 is 2684365.

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 198592335769 + 7007223117456 = 445637^2 + 2647116^2 .

It is not a de Polignac number, because 7205815453225 - 2¹³ = 7205815445033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7205815453229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3449407981 + ... + 3449410069.

Almost surely, 2^{7205815453225} is an apocalyptic number.

7205815453225 is the 2684365-th square number.

7205815453225 is the 1342183-rd centered octagonal number.

It is an amenable number.

7205815453225 is a deficient number, since it is larger than the sum of its proper divisors (1768594379462).

7205815453225 is an frugal number, since it uses more digits than its factorization.

7205815453225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 49.

Multiplying 7205815453225 by its sum of digits (49), we get a square (353084957208025 = 18790555²).

The spelling of 7205815453225 in words is "seven trillion, two hundred five billion, eight hundred fifteen million, four hundred fifty-three thousand, two hundred twenty-five".