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617053117 is a prime number
BaseRepresentation
bin100100110001110…
…111101110111101
31121000002112202011
4210301313232331
52230431144432
6141121331221
721201602452
oct4461675675
91530075664
10617053117
1129734615a
12152796b11
139aab98b5
145bd45829
153928a847
hex24c77bbd

617053117 has 2 divisors, whose sum is σ = 617053118. Its totient is φ = 617053116.

The previous prime is 617053103. The next prime is 617053127. The reversal of 617053117 is 711350716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441252036 + 175801081 = 21006^2 + 13259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-617053117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (617053127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308526558 + 308526559.

It is an arithmetic number, because the mean of its divisors is an integer number (308526559).

Almost surely, 2617053117 is an apocalyptic number.

It is an amenable number.

617053117 is a deficient number, since it is larger than the sum of its proper divisors (1).

617053117 is an equidigital number, since it uses as much as digits as its factorization.

617053117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 617053117 is about 24840.5538786880. The cubic root of 617053117 is about 851.3487776624.

The spelling of 617053117 in words is "six hundred seventeen million, fifty-three thousand, one hundred seventeen".