Search a number
-
+
513000000797 is a prime number
BaseRepresentation
bin1110111011100010010…
…11101100110100011101
31211001010212000011210112
413131301023230310131
531401111000011142
61031400254215405
752030422026324
oct7356113546435
91731125004715
10513000000797
11188620143509
128350a7b4565
13394b651cc3b
141ab8798d0bb
15d527085382
hex77712ecd1d

513000000797 has 2 divisors, whose sum is σ = 513000000798. Its totient is φ = 513000000796.

The previous prime is 513000000787. The next prime is 513000000823. The reversal of 513000000797 is 797000000315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 463255835641 + 49744165156 = 680629^2 + 223034^2 .

It is a cyclic number.

It is not a de Polignac number, because 513000000797 - 212 = 512999996701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513000000787) 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, 256500000398 + 256500000399.

It is an arithmetic number, because the mean of its divisors is an integer number (256500000399).

Almost surely, 2513000000797 is an apocalyptic number.

It is an amenable number.

513000000797 is a deficient number, since it is larger than the sum of its proper divisors (1).

513000000797 is an equidigital number, since it uses as much as digits as its factorization.

513000000797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 32.

The spelling of 513000000797 in words is "five hundred thirteen billion, seven hundred ninety-seven", and thus it is an aban number.