Search a number
-
+
517020335532049 is a prime number
BaseRepresentation
bin111010110001110100010110…
…1011100001110100000010001
32111210121122212010122221022211
41311203220231130032200101
51020231330121344011144
65031335510241232121
7213621325615055026
oct16543505534164021
92453548763587284
10517020335532049
1113a814102796368
1249ba2008332641
1319264a681b121b
149195cbc48954d
153eb8d43488034
hex1d63a2d70e811

517020335532049 has 2 divisors, whose sum is σ = 517020335532050. Its totient is φ = 517020335532048.

The previous prime is 517020335532007. The next prime is 517020335532079. The reversal of 517020335532049 is 940235533020715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342683777358400 + 174336558173649 = 18511720^2 + 13203657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-517020335532049 is a prime.

It is a super-2 number, since 2×5170203355320492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 517020335531993 and 517020335532011.

It is not a weakly prime, because it can be changed into another prime (517020335532079) 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, 258510167766024 + 258510167766025.

It is an arithmetic number, because the mean of its divisors is an integer number (258510167766025).

Almost surely, 2517020335532049 is an apocalyptic number.

It is an amenable number.

517020335532049 is a deficient number, since it is larger than the sum of its proper divisors (1).

517020335532049 is an equidigital number, since it uses as much as digits as its factorization.

517020335532049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402000, while the sum is 49.

The spelling of 517020335532049 in words is "five hundred seventeen trillion, twenty billion, three hundred thirty-five million, five hundred thirty-two thousand, forty-nine".