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59138317153 is a prime number
BaseRepresentation
bin110111000100111010…
…110001101101100001
312122122110011210002201
4313010322301231201
51432103402122103
643100123213201
74162334254546
oct670472615541
9178573153081
1059138317153
1123098046a83
12b565377201
13576608b396
142c1026cbcd
151811c9451d
hexdc4eb1b61

59138317153 has 2 divisors, whose sum is σ = 59138317154. Its totient is φ = 59138317152.

The previous prime is 59138317087. The next prime is 59138317177. The reversal of 59138317153 is 35171383195.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48098191969 + 11040125184 = 219313^2 + 105072^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-59138317153 is a prime.

It is not a weakly prime, because it can be changed into another prime (59138357153) 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, 29569158576 + 29569158577.

It is an arithmetic number, because the mean of its divisors is an integer number (29569158577).

Almost surely, 259138317153 is an apocalyptic number.

It is an amenable number.

59138317153 is a deficient number, since it is larger than the sum of its proper divisors (1).

59138317153 is an equidigital number, since it uses as much as digits as its factorization.

59138317153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 46.

The spelling of 59138317153 in words is "fifty-nine billion, one hundred thirty-eight million, three hundred seventeen thousand, one hundred fifty-three".