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513486050017 is a prime number
BaseRepresentation
bin1110111100011100010…
…01110101001011100001
31211002101201121000222111
413132032021311023201
531403104412100032
61031520420035321
752045443260413
oct7361611651341
91732351530874
10513486050017
1118884a541486
1283625532b41
133956312c125
141abd23529b3
15d554a94c47
hex778e2752e1

513486050017 has 2 divisors, whose sum is σ = 513486050018. Its totient is φ = 513486050016.

The previous prime is 513486050003. The next prime is 513486050053. The reversal of 513486050017 is 710050684315.

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., 410270994576 + 103215055441 = 640524^2 + 321271^2 .

It is a cyclic number.

It is not a de Polignac number, because 513486050017 - 27 = 513486049889 is a prime.

It is a super-2 number, since 2×5134860500172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513486050057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256743025008 + 256743025009.

It is an arithmetic number, because the mean of its divisors is an integer number (256743025009).

Almost surely, 2513486050017 is an apocalyptic number.

It is an amenable number.

513486050017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513486050017 is an equidigital number, since it uses as much as digits as its factorization.

513486050017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 513486050017 in words is "five hundred thirteen billion, four hundred eighty-six million, fifty thousand, seventeen".