273095082225 has 315 divisors, whose sum is σ = 599902614843. Its totient is φ = 123263169120.

The previous prime is 273095082187. The next prime is 273095082263. The reversal of 273095082225 is 522280590372.

The square root of 273095082225 is 522585.

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

It is an interprime number because it is at equal distance from previous prime (273095082187) and next prime (273095082263).

It can be written as a sum of positive squares in only one way, i.e., 98314229601 + 174780852624 = 313551^2 + 418068^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 273095082225 - 2⁹ = 273095081713 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 314 ways as a sum of consecutive naturals, for example, 3456899736 + ... + 3456899814.

Almost surely, 2^273095082225 is an apocalyptic number.

273095082225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

273095082225 is the 522585-th square number.

273095082225 is the 261293-rd centered octagonal number.

It is an amenable number.

273095082225 is an abundant number, since it is smaller than the sum of its proper divisors (326807532618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

273095082225 is an frugal number, since it uses more digits than its factorization.

273095082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 273095082225 in words is "two hundred seventy-three billion, ninety-five million, eighty-two thousand, two hundred twenty-five".