1253300225 has 18 divisors (see below), whose sum is σ = 1571998530. Its totient is φ = 991217920.

The previous prime is 1253300201. The next prime is 1253300263. The reversal of 1253300225 is 5220033521.

It can be written as a sum of positive squares in 9 ways, for example, as 554649601 + 698650624 = 23551^2 + 26432^2 .

It is not a de Polignac number, because 1253300225 - 2²⁶ = 1186191361 is a prime.

It is a super-2 number, since 2×1253300225² = 3141522907970101250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253300225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194861 + ... + 201189.

Almost surely, 2^1253300225 is an apocalyptic number.

It is an amenable number.

1253300225 is a deficient number, since it is larger than the sum of its proper divisors (318698305).

1253300225 is an frugal number, since it uses more digits than its factorization.

1253300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1253300225 is about 35401.9805236939. The cubic root of 1253300225 is about 1078.1645278233.

Adding to 1253300225 its reverse (5220033521), we get a palindrome (6473333746).

The spelling of 1253300225 in words is "one billion, two hundred fifty-three million, three hundred thousand, two hundred twenty-five".