2253605125 has 16 divisors (see below), whose sum is σ = 2824606512. Its totient is φ = 1795123200.

The previous prime is 2253605077. The next prime is 2253605131. The reversal of 2253605125 is 5215063522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1235803716 + 1017801409 = 35154^2 + 31903^2 .

It is not a de Polignac number, because 2253605125 - 2¹⁷ = 2253474053 is a prime.

It is a super-3 number, since 3×2253605125³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9564 + ... + 67813.

It is an arithmetic number, because the mean of its divisors is an integer number (176537907).

Almost surely, 2^2253605125 is an apocalyptic number.

2253605125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2253605125 is a deficient number, since it is larger than the sum of its proper divisors (571001387).

2253605125 is an equidigital number, since it uses as much as digits as its factorization.

2253605125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77625 (or 77615 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 2253605125 is about 47472.1510466926. The cubic root of 2253605125 is about 1311.0701829300.

Adding to 2253605125 its reverse (5215063522), we get a palindrome (7468668647).

The spelling of 2253605125 in words is "two billion, two hundred fifty-three million, six hundred five thousand, one hundred twenty-five".