Search a number
-
+
13136817509 is a prime number
BaseRepresentation
bin11000011110000001…
…11110110101100101
31020220112020110210122
430033000332311211
5203401011130014
610011315331325
7643354051334
oct141700766545
936815213718
1013136817509
115631433482
1226675b0b45
1313148365ca
148c89c1d1b
1551d47a58e
hex30f03ed65

13136817509 has 2 divisors, whose sum is σ = 13136817510. Its totient is φ = 13136817508.

The previous prime is 13136817497. The next prime is 13136817511. The reversal of 13136817509 is 90571863131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8368224484 + 4768593025 = 91478^2 + 69055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13136817509 is a prime.

Together with 13136817511, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13136817509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13136817559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568408754 + 6568408755.

It is an arithmetic number, because the mean of its divisors is an integer number (6568408755).

Almost surely, 213136817509 is an apocalyptic number.

It is an amenable number.

13136817509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13136817509 is an equidigital number, since it uses as much as digits as its factorization.

13136817509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 44.

It can be divided in two parts, 131368 and 17509, that added together give a cube (148877 = 533).

The spelling of 13136817509 in words is "thirteen billion, one hundred thirty-six million, eight hundred seventeen thousand, five hundred nine".