2253875625 has 75 divisors (see below), whose sum is σ = 4227313233. Its totient is φ = 1196370000.

The previous prime is 2253875597. The next prime is 2253875633. The reversal of 2253875625 is 5265783522.

The square root of 2253875625 is 47475.

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

2253875625 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 87 + 562 + 5 = 666.

2253875625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176703849 + 2077171776 = 13293^2 + 45576^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 2253875625 - 2⁷ = 2253875497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10681770 + ... + 10681980.

Almost surely, 2^2253875625 is an apocalyptic number.

2253875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2253875625 is the 47475-th square number.

2253875625 is the 23738-th centered octagonal number.

It is an amenable number.

2253875625 is a deficient number, since it is larger than the sum of its proper divisors (1973437608).

2253875625 is an frugal number, since it uses more digits than its factorization.

2253875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 219 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The cubic root of 2253875625 is about 1311.1226367062.

The spelling of 2253875625 in words is "two billion, two hundred fifty-three million, eight hundred seventy-five thousand, six hundred twenty-five".