272057808930625 has 45 divisors (see below), whose sum is σ = 344152026820063. Its totient is φ = 214996952756000.

The previous prime is 272057808930619. The next prime is 272057808930629. The reversal of 272057808930625 is 526039808750272.

The square root of 272057808930625 is 16494175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 214007611742001 + 58050197188624 = 14628999^2 + 7619068^2 .

It is not a de Polignac number, because 272057808930625 - 2³ = 272057808930617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272057808930629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34225409151 + ... + 34225417099.

Almost surely, 2^{272057808930625} is an apocalyptic number.

272057808930625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272057808930625 is the 16494175-th square number.

272057808930625 is the 8247088-th centered octagonal number.

It is an amenable number.

272057808930625 is a deficient number, since it is larger than the sum of its proper divisors (72094217889438).

272057808930625 is an frugal number, since it uses more digits than its factorization.

272057808930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16084 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

The spelling of 272057808930625 in words is "two hundred seventy-two trillion, fifty-seven billion, eight hundred eight million, nine hundred thirty thousand, six hundred twenty-five".