Search a number
-
+
253000037 is a prime number
BaseRepresentation
bin11110001010001…
…11100101100101
3122122001201210202
433011013211211
51004232000122
641034400245
76161315303
oct1705074545
9578051722
10253000037
1111a8a2744
1270890085
1340553084
142585b273
1517327e92
hexf147965

253000037 has 2 divisors, whose sum is σ = 253000038. Its totient is φ = 253000036.

The previous prime is 252999893. The next prime is 253000039. The reversal of 253000037 is 730000352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129367876 + 123632161 = 11374^2 + 11119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253000037 is a prime.

Together with 253000039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252999982 and 253000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126500018 + 126500019.

It is an arithmetic number, because the mean of its divisors is an integer number (126500019).

Almost surely, 2253000037 is an apocalyptic number.

It is an amenable number.

253000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

253000037 is an equidigital number, since it uses as much as digits as its factorization.

253000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 253000037 is about 15905.9748836719. The cubic root of 253000037 is about 632.4703851736.

Adding to 253000037 its reverse (730000352), we get a palindrome (983000389).

The spelling of 253000037 in words is "two hundred fifty-three million, thirty-seven", and thus it is an aban number.