272959006525 has 12 divisors (see below), whose sum is σ = 338498167444. Its totient is φ = 218348496000.

The previous prime is 272959006387. The next prime is 272959006547. The reversal of 272959006525 is 525600959272.

It can be written as a sum of positive squares in 6 ways, for example, as 44346884569 + 228612121956 = 210587^2 + 478134^2 .

It is not a de Polignac number, because 272959006525 - 2¹¹ = 272959004477 is a prime.

It is a super-2 number, since 2×272959006525² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166296 + ... + 757345.

Almost surely, 2^272959006525 is an apocalyptic number.

272959006525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272959006525 is a deficient number, since it is larger than the sum of its proper divisors (65539160919).

272959006525 is a wasteful number, since it uses less digits than its factorization.

272959006525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935472 (or 935467 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 272959006525 in words is "two hundred seventy-two billion, nine hundred fifty-nine million, six thousand, five hundred twenty-five".