252786722841 has 9 divisors (see below), whose sum is σ = 365138556159. Its totient is φ = 168523476336.

The previous prime is 252786722831. The next prime is 252786722849. The reversal of 252786722841 is 148227687252.

It is a happy number.

The square root of 252786722841 is 502779.

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

252786722841 is a `hidden beast` number, since 2 + 527 + 8 + 6 + 72 + 2 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222477305625 + 30309417216 = 471675^2 + 174096^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 252786722841 - 2⁹ = 252786722329 is a prime.

It is a super-2 number, since 2×252786722841² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252786722849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1424541 + ... + 1592133.

Almost surely, 2^252786722841 is an apocalyptic number.

252786722841 is the 502779-th square number.

252786722841 is the 251390-th centered octagonal number.

It is an amenable number.

252786722841 is a deficient number, since it is larger than the sum of its proper divisors (112351833318).

252786722841 is an frugal number, since it uses more digits than its factorization.

252786722841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335192 (or 167596 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 252786722841 in words is "two hundred fifty-two billion, seven hundred eighty-six million, seven hundred twenty-two thousand, eight hundred forty-one".