Search a number
-
+
33538051 is a prime number
BaseRepresentation
bin111111111110…
…0000000000011
32100002220120001
41333330000003
532041204201
63154500431
7555032401
oct177740003
970086501
1033538051
1117a276a8
12b294717
136c43501
144650471
152e27301
hex1ffc003

33538051 has 2 divisors, whose sum is σ = 33538052. Its totient is φ = 33538050.

The previous prime is 33538049. The next prime is 33538069. The reversal of 33538051 is 15083533.

It is a weak prime.

It is an emirp because it is prime and its reverse (15083533) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33538051 - 21 = 33538049 is a prime.

It is a super-2 number, since 2×335380512 = 2249601729757202, which contains 22 as substring.

Together with 33538049, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (33538081) 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, 16769025 + 16769026.

It is an arithmetic number, because the mean of its divisors is an integer number (16769026).

Almost surely, 233538051 is an apocalyptic number.

33538051 is a deficient number, since it is larger than the sum of its proper divisors (1).

33538051 is an equidigital number, since it uses as much as digits as its factorization.

33538051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 33538051 is about 5791.2046242556. The cubic root of 33538051 is about 322.4872931315.

The spelling of 33538051 in words is "thirty-three million, five hundred thirty-eight thousand, fifty-one".