272355603129 has 27 divisors (see below), whose sum is σ = 399032886447. Its totient is φ = 179007986016.

The previous prime is 272355603119. The next prime is 272355603193. The reversal of 272355603129 is 921306553272.

The square root of 272355603129 is 521877.

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

272355603129 is a `hidden beast` number, since 2 + 7 + 2 + 35 + 5 + 603 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154602308025 + 117753295104 = 393195^2 + 343152^2 .

It is not a de Polignac number, because 272355603129 - 2⁵ = 272355603097 is a prime.

It is a super-2 number, since 2×272355603129² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272355603119) 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, 114289872 + ... + 114292254.

Almost surely, 2^272355603129 is an apocalyptic number.

272355603129 is the 521877-th square number.

272355603129 is the 260939-th centered octagonal number.

It is an amenable number.

272355603129 is a deficient number, since it is larger than the sum of its proper divisors (126677283318).

272355603129 is an frugal number, since it uses more digits than its factorization.

272355603129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 272355603129 in words is "two hundred seventy-two billion, three hundred fifty-five million, six hundred three thousand, one hundred twenty-nine".