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261760013 is a prime number
BaseRepresentation
bin11111001101000…
…10010000001101
3200020112210020022
433212202100031
51014002310023
641550231525
76325631504
oct1746422015
9606483208
10261760013
11124836199
12737b55a5
13422cc3a8
1426a9b83b
1517ea87c8
hexf9a240d

261760013 has 2 divisors, whose sum is σ = 261760014. Its totient is φ = 261760012.

The previous prime is 261759991. The next prime is 261760027. The reversal of 261760013 is 310067162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251603044 + 10156969 = 15862^2 + 3187^2 .

It is a cyclic number.

It is not a de Polignac number, because 261760013 - 218 = 261497869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261760043) 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, 130880006 + 130880007.

It is an arithmetic number, because the mean of its divisors is an integer number (130880007).

Almost surely, 2261760013 is an apocalyptic number.

It is an amenable number.

261760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

261760013 is an equidigital number, since it uses as much as digits as its factorization.

261760013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 261760013 is about 16178.9991346807. Note that the first 3 decimals coincide. The cubic root of 261760013 is about 639.6873578776.

The spelling of 261760013 in words is "two hundred sixty-one million, seven hundred sixty thousand, thirteen".