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12033001957 is a prime number
BaseRepresentation
bin10110011010011100…
…10000100111100101
31011001121012211112011
423031032100213211
5144120422030312
65310004554221
7604121554234
oct131516204745
934047184464
1012033001957
115115352519
1223b99b2971
131199c4b002
1482216cb1b
154a65ddda7
hex2cd3909e5

12033001957 has 2 divisors, whose sum is σ = 12033001958. Its totient is φ = 12033001956.

The previous prime is 12033001921. The next prime is 12033002011. The reversal of 12033001957 is 75910033021.

12033001957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9660727521 + 2372274436 = 98289^2 + 48706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12033001957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12033008957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016500978 + 6016500979.

It is an arithmetic number, because the mean of its divisors is an integer number (6016500979).

Almost surely, 212033001957 is an apocalyptic number.

It is an amenable number.

12033001957 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033001957 is an equidigital number, since it uses as much as digits as its factorization.

12033001957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

Adding to 12033001957 its reverse (75910033021), we get a palindrome (87943034978).

The spelling of 12033001957 in words is "twelve billion, thirty-three million, one thousand, nine hundred fifty-seven".