253038361 has 2 divisors, whose sum is σ = 253038362. Its totient is φ = 253038360.

The previous prime is 253038293. The next prime is 253038403. The reversal of 253038361 is 163830352.

253038361 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., 251412736 + 1625625 = 15856^2 + 1275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253038361 is a prime.

It is a super-3 number, since 3×253038361³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253036361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126519180 + 126519181.

It is an arithmetic number, because the mean of its divisors is an integer number (126519181).

Almost surely, 2^253038361 is an apocalyptic number.

It is an amenable number.

253038361 is a deficient number, since it is larger than the sum of its proper divisors (1).

253038361 is an equidigital number, since it uses as much as digits as its factorization.

253038361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 253038361 is about 15907.1795425839. The cubic root of 253038361 is about 632.5023187279.

The spelling of 253038361 in words is "two hundred fifty-three million, thirty-eight thousand, three hundred sixty-one".