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253060993 is a prime number
BaseRepresentation
bin11110001010101…
…10011110000001
3122122011211102101
433011112132001
51004240422433
641035550401
76161661103
oct1705263601
9578154371
10253060993
1111a934519
12708bb401
1340574a43
1425875573
151733b07d
hexf156781

253060993 has 2 divisors, whose sum is σ = 253060994. Its totient is φ = 253060992.

The previous prime is 253060991. The next prime is 253061027. The reversal of 253060993 is 399060352.

253060993 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., 143712144 + 109348849 = 11988^2 + 10457^2 .

It is a cyclic number.

It is not a de Polignac number, because 253060993 - 21 = 253060991 is a prime.

Together with 253060991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (253060991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126530496 + 126530497.

It is an arithmetic number, because the mean of its divisors is an integer number (126530497).

Almost surely, 2253060993 is an apocalyptic number.

It is an amenable number.

253060993 is a deficient number, since it is larger than the sum of its proper divisors (1).

253060993 is an equidigital number, since it uses as much as digits as its factorization.

253060993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 253060993 is about 15907.8909035736. The cubic root of 253060993 is about 632.5211753757.

The spelling of 253060993 in words is "two hundred fifty-three million, sixty thousand, nine hundred ninety-three".