513577395649 has 2 divisors, whose sum is σ = 513577395650. Its totient is φ = 513577395648.

The previous prime is 513577395631. The next prime is 513577395659. The reversal of 513577395649 is 946593775315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319971235600 + 193606160049 = 565660^2 + 440007^2 .

It is a cyclic number.

It is not a de Polignac number, because 513577395649 - 2¹⁹ = 513576871361 is a prime.

It is a super-3 number, since 3×513577395649³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (513577395659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256788697824 + 256788697825.

It is an arithmetic number, because the mean of its divisors is an integer number (256788697825).

Almost surely, 2^513577395649 is an apocalyptic number.

It is an amenable number.

513577395649 is a deficient number, since it is larger than the sum of its proper divisors (1).

513577395649 is an equidigital number, since it uses as much as digits as its factorization.

513577395649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107163000, while the sum is 64.

It can be divided in two parts, 513577 and 395649, that added together give a triangular number (909226 = T₁₃₄₈).

The spelling of 513577395649 in words is "five hundred thirteen billion, five hundred seventy-seven million, three hundred ninety-five thousand, six hundred forty-nine".