253982161 has 2 divisors, whose sum is σ = 253982162. Its totient is φ = 253982160.

The previous prime is 253982149. The next prime is 253982173. The reversal of 253982161 is 161289352.

It is a balanced prime because it is at equal distance from previous prime (253982149) and next prime (253982173).

It can be written as a sum of positive squares in only one way, i.e., 210830400 + 43151761 = 14520^2 + 6569^2 .

It is a cyclic number.

It is not a de Polignac number, because 253982161 - 2⁷ = 253982033 is a prime.

It is equal to p_13885174 and since 253982161 and 13885174 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253982161.

It is not a weakly prime, because it can be changed into another prime (253982191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126991080 + 126991081.

It is an arithmetic number, because the mean of its divisors is an integer number (126991081).

Almost surely, 2^253982161 is an apocalyptic number.

It is an amenable number.

253982161 is a deficient number, since it is larger than the sum of its proper divisors (1).

253982161 is an equidigital number, since it uses as much as digits as its factorization.

253982161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 37.

The square root of 253982161 is about 15936.8177814770. The cubic root of 253982161 is about 633.2877266944.

The spelling of 253982161 in words is "two hundred fifty-three million, nine hundred eighty-two thousand, one hundred sixty-one".