Search a number
-
+
513013739129 is a prime number
BaseRepresentation
bin1110111011100100000…
…00000110111001111001
31211001011210212011020122
413131302000012321321
531401123004123004
61031401504503025
752030646555633
oct7356200067171
91731153764218
10513013739129
11188627977301
128351331aa75
13394b9320228
141ab89727a53
15d52839acbe
hex7772006e79

513013739129 has 2 divisors, whose sum is σ = 513013739130. Its totient is φ = 513013739128.

The previous prime is 513013739123. The next prime is 513013739221. The reversal of 513013739129 is 921937310315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418417509904 + 94596229225 = 646852^2 + 307565^2 .

It is a cyclic number.

It is not a de Polignac number, because 513013739129 - 216 = 513013673593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513013739129.

It is not a weakly prime, because it can be changed into another prime (513013739123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256506869564 + 256506869565.

It is an arithmetic number, because the mean of its divisors is an integer number (256506869565).

Almost surely, 2513013739129 is an apocalyptic number.

It is an amenable number.

513013739129 is a deficient number, since it is larger than the sum of its proper divisors (1).

513013739129 is an equidigital number, since it uses as much as digits as its factorization.

513013739129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153090, while the sum is 44.

The spelling of 513013739129 in words is "five hundred thirteen billion, thirteen million, seven hundred thirty-nine thousand, one hundred twenty-nine".