Search a number
-
+
985862100253 is a prime number
BaseRepresentation
bin11100101100010011111…
…01011101010100011101
310111020200102110201000111
432112021331131110131
5112123021144202003
62032522050130021
7131140403405302
oct16261175352435
93436612421014
10985862100253
113501134aa628
1213b097280911
1371c742365a4
1435a049150a9
151a9a0493e6d
hexe589f5d51d

985862100253 has 2 divisors, whose sum is σ = 985862100254. Its totient is φ = 985862100252.

The previous prime is 985862100229. The next prime is 985862100313. The reversal of 985862100253 is 352001268589.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673405695769 + 312456404484 = 820613^2 + 558978^2 .

It is a cyclic number.

It is not a de Polignac number, because 985862100253 - 221 = 985860003101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 985862100197 and 985862100206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (985862100653) 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, 492931050126 + 492931050127.

It is an arithmetic number, because the mean of its divisors is an integer number (492931050127).

Almost surely, 2985862100253 is an apocalyptic number.

It is an amenable number.

985862100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

985862100253 is an equidigital number, since it uses as much as digits as its factorization.

985862100253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 985862100253 in words is "nine hundred eighty-five billion, eight hundred sixty-two million, one hundred thousand, two hundred fifty-three".