253380961 has 2 divisors, whose sum is σ = 253380962. Its totient is φ = 253380960.

The previous prime is 253380947. The next prime is 253380991. The reversal of 253380961 is 169083352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139830625 + 113550336 = 11825^2 + 10656^2 .

It is a cyclic number.

It is not a de Polignac number, because 253380961 - 2¹⁹ = 252856673 is a prime.

It is a super-2 number, since 2×253380961² = 128403822794567042, which contains 22 as substring.

It is equal to p_13854097 and since 253380961 and 13854097 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 253380961.

It is not a weakly prime, because it can be changed into another prime (253380991) 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, 126690480 + 126690481.

It is an arithmetic number, because the mean of its divisors is an integer number (126690481).

Almost surely, 2^253380961 is an apocalyptic number.

It is an amenable number.

253380961 is a deficient number, since it is larger than the sum of its proper divisors (1).

253380961 is an equidigital number, since it uses as much as digits as its factorization.

253380961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 253380961 is about 15917.9446223437. The cubic root of 253380961 is about 632.7876477576.

The spelling of 253380961 in words is "two hundred fifty-three million, three hundred eighty thousand, nine hundred sixty-one".