252444000481 has 2 divisors, whose sum is σ = 252444000482. Its totient is φ = 252444000480.

The previous prime is 252444000409. The next prime is 252444000533. The reversal of 252444000481 is 184000444252.

252444000481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238030797456 + 14413203025 = 487884^2 + 120055^2 .

It is a cyclic number.

It is not a de Polignac number, because 252444000481 - 2⁷ = 252444000353 is a prime.

It is a super-2 number, since 2×252444000481² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252444000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126222000240 + 126222000241.

It is an arithmetic number, because the mean of its divisors is an integer number (126222000241).

Almost surely, 2^252444000481 is an apocalyptic number.

It is an amenable number.

252444000481 is a deficient number, since it is larger than the sum of its proper divisors (1).

252444000481 is an equidigital number, since it uses as much as digits as its factorization.

252444000481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 252444000481 in words is "two hundred fifty-two billion, four hundred forty-four million, four hundred eighty-one", and thus it is an aban number.