Search a number
-
+
253032833 is a prime number
BaseRepresentation
bin11110001010011…
…11100110000001
3122122010101210102
433011033212001
51004234022313
641035212145
76161513024
oct1705174601
9578111712
10253032833
1111a915349
12708a7055
1340564c91
14258691bb
1517332a58
hexf14f981

253032833 has 2 divisors, whose sum is σ = 253032834. Its totient is φ = 253032832.

The previous prime is 253032817. The next prime is 253032839. The reversal of 253032833 is 338230352.

It is a happy number.

253032833 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., 203005504 + 50027329 = 14248^2 + 7073^2 .

It is a cyclic number.

It is not a de Polignac number, because 253032833 - 24 = 253032817 is a prime.

It is a super-2 number, since 2×2530328332 = 128051229152011778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253032796 and 253032805.

It is not a weakly prime, because it can be changed into another prime (253032839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126516416 + 126516417.

It is an arithmetic number, because the mean of its divisors is an integer number (126516417).

Almost surely, 2253032833 is an apocalyptic number.

It is an amenable number.

253032833 is a deficient number, since it is larger than the sum of its proper divisors (1).

253032833 is an equidigital number, since it uses as much as digits as its factorization.

253032833 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 29.

The square root of 253032833 is about 15907.0057836162. The cubic root of 253032833 is about 632.4977127092.

The spelling of 253032833 in words is "two hundred fifty-three million, thirty-two thousand, eight hundred thirty-three".