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133713409 is a prime number
BaseRepresentation
bin1111111100001…
…00111000000001
3100022121100022111
413332010320001
5233212312114
621133535321
73212355004
oct776047001
9308540274
10133713409
1169528955
1238944541
1321918a7b
1413a8953b
15bb13bc4
hex7f84e01

133713409 has 2 divisors, whose sum is σ = 133713410. Its totient is φ = 133713408.

The previous prime is 133713407. The next prime is 133713439. The reversal of 133713409 is 904317331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124880625 + 8832784 = 11175^2 + 2972^2 .

It is a cyclic number.

It is not a de Polignac number, because 133713409 - 21 = 133713407 is a prime.

Together with 133713407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133713407) 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, 66856704 + 66856705.

It is an arithmetic number, because the mean of its divisors is an integer number (66856705).

Almost surely, 2133713409 is an apocalyptic number.

It is an amenable number.

133713409 is a deficient number, since it is larger than the sum of its proper divisors (1).

133713409 is an equidigital number, since it uses as much as digits as its factorization.

133713409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 133713409 is about 11563.4514311256. The cubic root of 133713409 is about 511.3579203589.

The spelling of 133713409 in words is "one hundred thirty-three million, seven hundred thirteen thousand, four hundred nine".