272966970031 has 32 divisors (see below), whose sum is σ = 329868288000. Its totient is φ = 220907847552.

The previous prime is 272966970019. The next prime is 272966970041. The reversal of 272966970031 is 130079669272.

It is not a de Polignac number, because 272966970031 - 2⁹ = 272966969519 is a prime.

It is a super-2 number, since 2×272966970031² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272966970041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11714250 + ... + 11737528.

It is an arithmetic number, because the mean of its divisors is an integer number (10308384000).

Almost surely, 2^272966970031 is an apocalyptic number.

272966970031 is a deficient number, since it is larger than the sum of its proper divisors (56901317969).

272966970031 is a wasteful number, since it uses less digits than its factorization.

272966970031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24591.

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 272966970031 in words is "two hundred seventy-two billion, nine hundred sixty-six million, nine hundred seventy thousand, thirty-one".