513536351617 has 2 divisors, whose sum is σ = 513536351618. Its totient is φ = 513536351616.

The previous prime is 513536351477. The next prime is 513536351621. The reversal of 513536351617 is 716153635315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 511076290816 + 2460060801 = 714896^2 + 49599^2 .

It is a cyclic number.

It is not a de Polignac number, because 513536351617 - 2¹¹ = 513536349569 is a prime.

It is not a weakly prime, because it can be changed into another prime (513536351677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256768175808 + 256768175809.

It is an arithmetic number, because the mean of its divisors is an integer number (256768175809).

Almost surely, 2^513536351617 is an apocalyptic number.

It is an amenable number.

513536351617 is a deficient number, since it is larger than the sum of its proper divisors (1).

513536351617 is an equidigital number, since it uses as much as digits as its factorization.

513536351617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 850500, while the sum is 46.

The spelling of 513536351617 in words is "five hundred thirteen billion, five hundred thirty-six million, three hundred fifty-one thousand, six hundred seventeen".