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129579013 is a prime number
BaseRepresentation
bin1111011100100…
…11100000000101
3100000211021222201
413232103200011
5231133012023
620505154501
73132255244
oct756234005
9300737881
10129579013
11671646a3
123748ba31
1320acbc95
14132d095b
15b598bad
hex7b93805

129579013 has 2 divisors, whose sum is σ = 129579014. Its totient is φ = 129579012.

The previous prime is 129578929. The next prime is 129579029. The reversal of 129579013 is 310975921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129436129 + 142884 = 11377^2 + 378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-129579013 is a prime.

It is a super-2 number, since 2×1295790132 = 33581441220108338, which contains 22 as substring.

It is equal to p7355737 and since 129579013 and 7355737 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129579113) 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, 64789506 + 64789507.

It is an arithmetic number, because the mean of its divisors is an integer number (64789507).

Almost surely, 2129579013 is an apocalyptic number.

It is an amenable number.

129579013 is a deficient number, since it is larger than the sum of its proper divisors (1).

129579013 is an equidigital number, since it uses as much as digits as its factorization.

129579013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 129579013 is about 11383.2777792690. The cubic root of 129579013 is about 506.0322811611.

It can be divided in two parts, 1295 and 79013, that added together give a palindrome (80308).

The spelling of 129579013 in words is "one hundred twenty-nine million, five hundred seventy-nine thousand, thirteen".