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253000801 is a prime number
BaseRepresentation
bin11110001010001…
…11110001100001
3122122001202212001
433011013301201
51004232011201
641034404001
76161320444
oct1705076141
9578052761
10253000801
1111a8a3279
1270890601
1340553521
142585b65b
1517328301
hexf147c61

253000801 has 2 divisors, whose sum is σ = 253000802. Its totient is φ = 253000800.

The previous prime is 253000799. The next prime is 253000819. The reversal of 253000801 is 108000352.

It is a happy number.

253000801 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., 240994576 + 12006225 = 15524^2 + 3465^2 .

It is a cyclic number.

It is not a de Polignac number, because 253000801 - 21 = 253000799 is a prime.

Together with 253000799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (253000831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126500400 + 126500401.

It is an arithmetic number, because the mean of its divisors is an integer number (126500401).

Almost surely, 2253000801 is an apocalyptic number.

It is an amenable number.

253000801 is a deficient number, since it is larger than the sum of its proper divisors (1).

253000801 is an equidigital number, since it uses as much as digits as its factorization.

253000801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 253000801 is about 15905.9988997862. The cubic root of 253000801 is about 632.4710218097.

The spelling of 253000801 in words is "two hundred fifty-three million, eight hundred one", and thus it is an aban number.