2553332347225 has 81 divisors (see below), whose sum is σ = 3699048554551. Its totient is φ = 1746712844800.

The previous prime is 2553332347211. The next prime is 2553332347271. The reversal of 2553332347225 is 5227432333552.

It is a happy number.

The square root of 2553332347225 is 1597915.

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 1734481098009 + 818851249216 = 1316997^2 + 904904^2 .

It is not a de Polignac number, because 2553332347225 - 2³⁹ = 2003576533337 is a prime.

It is a super-3 number, since 3×2553332347225³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1494049671 + ... + 1494051379.

Almost surely, 2^{2553332347225} is an apocalyptic number.

2553332347225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2553332347225 is the 1597915-th square number.

2553332347225 is the 798958-th centered octagonal number.

It is an amenable number.

2553332347225 is a deficient number, since it is larger than the sum of its proper divisors (1145716207326).

2553332347225 is an equidigital number, since it uses as much as digits as its factorization.

2553332347225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 1742 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 46.

The spelling of 2553332347225 in words is "two trillion, five hundred fifty-three billion, three hundred thirty-two million, three hundred forty-seven thousand, two hundred twenty-five".