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253124933 is a prime number
BaseRepresentation
bin11110001011001…
…10000101000101
3122122022002010112
433011212011011
51004244444213
641041202405
76162345365
oct1705460505
9578262115
10253124933
1111a978566
1270930405
1340597b89
14258909a5
151734eea8
hexf166145

253124933 has 2 divisors, whose sum is σ = 253124934. Its totient is φ = 253124932.

The previous prime is 253124891. The next prime is 253124941. The reversal of 253124933 is 339421352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252110884 + 1014049 = 15878^2 + 1007^2 .

It is a cyclic number.

It is not a de Polignac number, because 253124933 - 216 = 253059397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253124933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253124953) 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, 126562466 + 126562467.

It is an arithmetic number, because the mean of its divisors is an integer number (126562467).

Almost surely, 2253124933 is an apocalyptic number.

It is an amenable number.

253124933 is a deficient number, since it is larger than the sum of its proper divisors (1).

253124933 is an equidigital number, since it uses as much as digits as its factorization.

253124933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 32.

The square root of 253124933 is about 15909.9004710903. The cubic root of 253124933 is about 632.5744431640.

The spelling of 253124933 in words is "two hundred fifty-three million, one hundred twenty-four thousand, nine hundred thirty-three".