273605363329 has 27 divisors (see below), whose sum is σ = 301298393851. Its totient is φ = 248396906240.

The previous prime is 273605363321. The next prime is 273605363347. The reversal of 273605363329 is 923363506372.

The square root of 273605363329 is 523073.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24556457025 + 249048906304 = 156705^2 + 499048^2 .

It is not a de Polignac number, because 273605363329 - 2³ = 273605363321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (273605363321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 257874459 + ... + 257875519.

Almost surely, 2^273605363329 is an apocalyptic number.

273605363329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

273605363329 is the 523073-rd square number.

273605363329 is the 261537-th centered octagonal number.

It is an amenable number.

273605363329 is a deficient number, since it is larger than the sum of its proper divisors (27693030522).

273605363329 is an frugal number, since it uses more digits than its factorization.

273605363329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 49.

Multiplying 273605363329 by its sum of digits (49), we get a square (13406662803121 = 3661511²).

The spelling of 273605363329 in words is "two hundred seventy-three billion, six hundred five million, three hundred sixty-three thousand, three hundred twenty-nine".