253245465225 has 135 divisors (see below), whose sum is σ = 480392741829. Its totient is φ = 131887828800.

The previous prime is 253245465217. The next prime is 253245465271. The reversal of 253245465225 is 522564542352.

It is a happy number.

The square root of 253245465225 is 503235.

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

253245465225 is a `hidden beast` number, since 2 + 5 + 32 + 4 + 546 + 52 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1907680329 + 251337784896 = 43677^2 + 501336^2 .

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

It is not a de Polignac number, because 253245465225 - 2³ = 253245465217 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 134 ways as a sum of consecutive naturals, for example, 1200215370 + ... + 1200215580.

Almost surely, 2^253245465225 is an apocalyptic number.

253245465225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253245465225 is the 503235-th square number.

253245465225 is the 251618-th centered octagonal number.

It is an amenable number.

253245465225 is a deficient number, since it is larger than the sum of its proper divisors (227147276604).

253245465225 is an frugal number, since it uses more digits than its factorization.

253245465225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 272 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

The spelling of 253245465225 in words is "two hundred fifty-three billion, two hundred forty-five million, four hundred sixty-five thousand, two hundred twenty-five".