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513036427 is a prime number
BaseRepresentation
bin11110100101000…
…101000010001011
31022202100221200011
4132211011002023
52022314131202
6122524052351
715466511011
oct3645050213
91282327604
10513036427
11243660952
121239940b7
138239aa67
144c1ca8b1
1530090bd7
hex1e94508b

513036427 has 2 divisors, whose sum is σ = 513036428. Its totient is φ = 513036426.

The previous prime is 513036401. The next prime is 513036437. The reversal of 513036427 is 724630315.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513036427 is a prime.

It is not a weakly prime, because it can be changed into another prime (513036437) 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, 256518213 + 256518214.

It is an arithmetic number, because the mean of its divisors is an integer number (256518214).

Almost surely, 2513036427 is an apocalyptic number.

513036427 is a deficient number, since it is larger than the sum of its proper divisors (1).

513036427 is an equidigital number, since it uses as much as digits as its factorization.

513036427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 513036427 is about 22650.3074372071. The cubic root of 513036427 is about 800.5394419005.

The spelling of 513036427 in words is "five hundred thirteen million, thirty-six thousand, four hundred twenty-seven".