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313901593 is a prime number
BaseRepresentation
bin10010101101011…
…100001000011001
3210212122212000221
4102231130020121
51120324322333
651052000041
710531055665
oct2255341031
9725585027
10313901593
11151209a05
1289160021
13500574b5
142d9918a5
151c857d2d
hex12b5c219

313901593 has 2 divisors, whose sum is σ = 313901594. Its totient is φ = 313901592.

The previous prime is 313901557. The next prime is 313901611. The reversal of 313901593 is 395109313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313573264 + 328329 = 17708^2 + 573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313901593 is a prime.

It is not a weakly prime, because it can be changed into another prime (313901503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156950796 + 156950797.

It is an arithmetic number, because the mean of its divisors is an integer number (156950797).

Almost surely, 2313901593 is an apocalyptic number.

It is an amenable number.

313901593 is a deficient number, since it is larger than the sum of its proper divisors (1).

313901593 is an equidigital number, since it uses as much as digits as its factorization.

313901593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 34.

The square root of 313901593 is about 17717.2682149365. The cubic root of 313901593 is about 679.6174268145.

The spelling of 313901593 in words is "three hundred thirteen million, nine hundred one thousand, five hundred ninety-three".