2053449225 has 135 divisors (see below), whose sum is σ = 4091602053. Its totient is φ = 1017956160.

The previous prime is 2053449179. The next prime is 2053449239. The reversal of 2053449225 is 5229443502.

The square root of 2053449225 is 45315.

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

2053449225 is a `hidden beast` number, since 205 + 3 + 449 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15468489 + 2037980736 = 3933^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2053449225 - 2¹⁷ = 2053318153 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2053449225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 38744299 + ... + 38744351.

Almost surely, 2^2053449225 is an apocalyptic number.

2053449225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2053449225 is the 45315-th square number.

2053449225 is the 22658-th centered octagonal number.

It is an amenable number.

2053449225 is a deficient number, since it is larger than the sum of its proper divisors (2038152828).

2053449225 is an equidigital number, since it uses as much as digits as its factorization.

2053449225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 2053449225 is about 1271.0461599186.

Multiplying 2053449225 by its sum of digits (36), we get a square (73924172100 = 271890²).

The spelling of 2053449225 in words is "two billion, fifty-three million, four hundred forty-nine thousand, two hundred twenty-five".