72057050581 has 2 divisors, whose sum is σ = 72057050582. Its totient is φ = 72057050580.

The previous prime is 72057050579. The next prime is 72057050617. The reversal of 72057050581 is 18505075027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71580327025 + 476723556 = 267545^2 + 21834^2 .

It is a cyclic number.

It is not a de Polignac number, because 72057050581 - 2¹ = 72057050579 is a prime.

It is a super-2 number, since 2×72057050581² (a number of 23 digits) contains 22 as substring.

Together with 72057050579, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72057050521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36028525290 + 36028525291.

It is an arithmetic number, because the mean of its divisors is an integer number (36028525291).

Almost surely, 2^72057050581 is an apocalyptic number.

It is an amenable number.

72057050581 is a deficient number, since it is larger than the sum of its proper divisors (1).

72057050581 is an equidigital number, since it uses as much as digits as its factorization.

72057050581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98000, while the sum is 40.

The spelling of 72057050581 in words is "seventy-two billion, fifty-seven million, fifty thousand, five hundred eighty-one".