513677721593 has 2 divisors, whose sum is σ = 513677721594. Its totient is φ = 513677721592.

The previous prime is 513677721589. The next prime is 513677721611. The reversal of 513677721593 is 395127776315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292521967609 + 221155753984 = 540853^2 + 470272^2 .

It is a cyclic number.

It is not a de Polignac number, because 513677721593 - 2² = 513677721589 is a prime.

It is not a weakly prime, because it can be changed into another prime (513677727593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256838860796 + 256838860797.

It is an arithmetic number, because the mean of its divisors is an integer number (256838860797).

Almost surely, 2^513677721593 is an apocalyptic number.

It is an amenable number.

513677721593 is a deficient number, since it is larger than the sum of its proper divisors (1).

513677721593 is an equidigital number, since it uses as much as digits as its factorization.

513677721593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8334900, while the sum is 56.

The spelling of 513677721593 in words is "five hundred thirteen billion, six hundred seventy-seven million, seven hundred twenty-one thousand, five hundred ninety-three".