Search a number
-
+
253314253 is a prime number
BaseRepresentation
bin11110001100101…
…00010011001101
3122122122200211101
433012110103031
51004322024003
641045223101
76164064343
oct1706242315
9578580741
10253314253
1111aa97825
1270a01a91
13406330ba
14258dd993
151738b11d
hexf1944cd

253314253 has 2 divisors, whose sum is σ = 253314254. Its totient is φ = 253314252.

The previous prime is 253314227. The next prime is 253314287. The reversal of 253314253 is 352413352.

253314253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218951209 + 34363044 = 14797^2 + 5862^2 .

It is a cyclic number.

It is not a de Polignac number, because 253314253 - 217 = 253183181 is a prime.

It is a super-2 number, since 2×2533142532 = 128336221545896018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253314653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126657126 + 126657127.

It is an arithmetic number, because the mean of its divisors is an integer number (126657127).

Almost surely, 2253314253 is an apocalyptic number.

It is an amenable number.

253314253 is a deficient number, since it is larger than the sum of its proper divisors (1).

253314253 is an equidigital number, since it uses as much as digits as its factorization.

253314253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 28.

The square root of 253314253 is about 15915.8491133838. The cubic root of 253314253 is about 632.7321112206.

Subtracting 253314253 from its reverse (352413352), we obtain a palindrome (99099099).

It can be divided in two parts, 25331 and 4253, that added together give a square (29584 = 1722).

The spelling of 253314253 in words is "two hundred fifty-three million, three hundred fourteen thousand, two hundred fifty-three".