513412263305 has 16 divisors (see below), whose sum is σ = 619170419088. Its totient is φ = 408683520000.

The previous prime is 513412263293. The next prime is 513412263389. The reversal of 513412263305 is 503362214315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13088046409 + 500324216896 = 114403^2 + 707336^2 .

It is not a de Polignac number, because 513412263305 - 2⁴ = 513412263289 is a prime.

It is a super-2 number, since 2×513412263305² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724265 + ... + 1245545.

It is an arithmetic number, because the mean of its divisors is an integer number (38698151193).

Almost surely, 2^513412263305 is an apocalyptic number.

It is an amenable number.

513412263305 is a deficient number, since it is larger than the sum of its proper divisors (105758155783).

513412263305 is a wasteful number, since it uses less digits than its factorization.

513412263305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522268.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 513412263305 in words is "five hundred thirteen billion, four hundred twelve million, two hundred sixty-three thousand, three hundred five".