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513123199 is a prime number
BaseRepresentation
bin11110100101011…
…010001101111111
31022202112100200221
4132211122031333
52022324420244
6122530002211
715500322001
oct3645321577
91282470627
10513123199
11243710066
12123a16367
13823cb3c4
144c210371
15300ab784
hex1e95a37f

513123199 has 2 divisors, whose sum is σ = 513123200. Its totient is φ = 513123198.

The previous prime is 513123179. The next prime is 513123203. The reversal of 513123199 is 991321315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513123199 - 225 = 479568767 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513123109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256561599 + 256561600.

It is an arithmetic number, because the mean of its divisors is an integer number (256561600).

Almost surely, 2513123199 is an apocalyptic number.

513123199 is a deficient number, since it is larger than the sum of its proper divisors (1).

513123199 is an equidigital number, since it uses as much as digits as its factorization.

513123199 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7290, while the sum is 34.

The square root of 513123199 is about 22652.2228269104. Note that the first 3 decimals coincide. The cubic root of 513123199 is about 800.5845722193.

The spelling of 513123199 in words is "five hundred thirteen million, one hundred twenty-three thousand, one hundred ninety-nine".