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252735817 is a prime number
BaseRepresentation
bin11110001000001…
…11000101001001
3122121120022100211
433010013011021
51004200021232
641025001121
76156135055
oct1704070511
9577508324
10252735817
1111a732184
12707831a1
134048ca29
14257ccc65
15172c4a47
hexf107149

252735817 has 2 divisors, whose sum is σ = 252735818. Its totient is φ = 252735816.

The previous prime is 252735781. The next prime is 252735823. The reversal of 252735817 is 718537252.

It is a happy number.

Together with previous prime (252735781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250557241 + 2178576 = 15829^2 + 1476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252735817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252735817.

It is not a weakly prime, because it can be changed into another prime (252735827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126367908 + 126367909.

It is an arithmetic number, because the mean of its divisors is an integer number (126367909).

Almost surely, 2252735817 is an apocalyptic number.

It is an amenable number.

252735817 is a deficient number, since it is larger than the sum of its proper divisors (1).

252735817 is an equidigital number, since it uses as much as digits as its factorization.

252735817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 117600, while the sum is 40.

The square root of 252735817 is about 15897.6670301022. The cubic root of 252735817 is about 632.2501354917.

The spelling of 252735817 in words is "two hundred fifty-two million, seven hundred thirty-five thousand, eight hundred seventeen".