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13162912561 is a prime number
BaseRepresentation
bin11000100001001001…
…00001101100110001
31020222100100020111001
430100210201230301
5203424201200221
610014050522001
7644121624241
oct142044415461
936870306431
1013162912561
115645137037
122674296301
13131a072076
148cc255b21
155208d2391
hex310921b31

13162912561 has 2 divisors, whose sum is σ = 13162912562. Its totient is φ = 13162912560.

The previous prime is 13162912559. The next prime is 13162912577. The reversal of 13162912561 is 16521926131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11202105600 + 1960806961 = 105840^2 + 44281^2 .

It is an emirp because it is prime and its reverse (16521926131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13162912561 - 21 = 13162912559 is a prime.

Together with 13162912559, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13162912561.

It is not a weakly prime, because it can be changed into another prime (13162912531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6581456280 + 6581456281.

It is an arithmetic number, because the mean of its divisors is an integer number (6581456281).

Almost surely, 213162912561 is an apocalyptic number.

It is an amenable number.

13162912561 is a deficient number, since it is larger than the sum of its proper divisors (1).

13162912561 is an equidigital number, since it uses as much as digits as its factorization.

13162912561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 37.

The spelling of 13162912561 in words is "thirteen billion, one hundred sixty-two million, nine hundred twelve thousand, five hundred sixty-one".