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1018376685257 is a prime number
BaseRepresentation
bin11101101000110111111…
…10110000011011001001
310121100121102101202112112
432310123332300123021
5113141113412412012
62055500310352105
7133401215666621
oct16643376603311
93540542352475
101018376685257
113629890a9588
1214545035b635
13750565665b9
143740acc9881
151b754c2a122
hexed1bfb06c9

1018376685257 has 2 divisors, whose sum is σ = 1018376685258. Its totient is φ = 1018376685256.

The previous prime is 1018376685251. The next prime is 1018376685323. The reversal of 1018376685257 is 7525866738101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990614127616 + 27762557641 = 995296^2 + 166621^2 .

It is an emirp because it is prime and its reverse (7525866738101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1018376685257 is a prime.

It is a super-3 number, since 3×10183766852573 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1018376685196 and 1018376685205.

It is not a weakly prime, because it can be changed into another prime (1018376685251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509188342628 + 509188342629.

It is an arithmetic number, because the mean of its divisors is an integer number (509188342629).

Almost surely, 21018376685257 is an apocalyptic number.

It is an amenable number.

1018376685257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1018376685257 is an equidigital number, since it uses as much as digits as its factorization.

1018376685257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16934400, while the sum is 59.

The spelling of 1018376685257 in words is "one trillion, eighteen billion, three hundred seventy-six million, six hundred eighty-five thousand, two hundred fifty-seven".