272312561 has 2 divisors, whose sum is σ = 272312562. Its totient is φ = 272312560.

The previous prime is 272312519. The next prime is 272312597. The reversal of 272312561 is 165213272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268960000 + 3352561 = 16400^2 + 1831^2 .

It is a cyclic number.

It is not a de Polignac number, because 272312561 - 2⁶ = 272312497 is a prime.

It is not a weakly prime, because it can be changed into another prime (272312861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136156280 + 136156281.

It is an arithmetic number, because the mean of its divisors is an integer number (136156281).

Almost surely, 2^272312561 is an apocalyptic number.

It is an amenable number.

272312561 is a deficient number, since it is larger than the sum of its proper divisors (1).

272312561 is an equidigital number, since it uses as much as digits as its factorization.

272312561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 272312561 is about 16501.8956789819. The cubic root of 272312561 is about 648.1704457197.

It can be divided in two parts, 27231 and 2561, that added together give a palindrome (29792).

The spelling of 272312561 in words is "two hundred seventy-two million, three hundred twelve thousand, five hundred sixty-one".