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253072117 is a prime number
BaseRepresentation
bin11110001010110…
…01001011110101
3122122012101200101
433011121023311
51004241301432
641040114101
76162035404
oct1705311365
9578171611
10253072117
1111a941911
1270905931
1340579b1c
142587963b
151733e4e7
hexf1592f5

253072117 has 2 divisors, whose sum is σ = 253072118. Its totient is φ = 253072116.

The previous prime is 253072091. The next prime is 253072121. The reversal of 253072117 is 711270352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197852356 + 55219761 = 14066^2 + 7431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253072117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253072147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126536058 + 126536059.

It is an arithmetic number, because the mean of its divisors is an integer number (126536059).

Almost surely, 2253072117 is an apocalyptic number.

It is an amenable number.

253072117 is a deficient number, since it is larger than the sum of its proper divisors (1).

253072117 is an equidigital number, since it uses as much as digits as its factorization.

253072117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 253072117 is about 15908.2405375327. The cubic root of 253072117 is about 632.5304433159.

It can be divided in two parts, 2530 and 72117, that added together give a palindrome (74647).

The spelling of 253072117 in words is "two hundred fifty-three million, seventy-two thousand, one hundred seventeen".