513536346011 has 24 divisors (see below), whose sum is σ = 586899844272. Its totient is φ = 446343307200.

The previous prime is 513536345999. The next prime is 513536346017. The reversal of 513536346011 is 110643635315.

It is not a de Polignac number, because 513536346011 - 2³⁴ = 496356476827 is a prime.

It is a super-2 number, since 2×513536346011² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513536346017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93245 + ... + 1017726.

It is an arithmetic number, because the mean of its divisors is an integer number (24454160178).

Almost surely, 2^513536346011 is an apocalyptic number.

513536346011 is a deficient number, since it is larger than the sum of its proper divisors (73363498261).

513536346011 is a wasteful number, since it uses less digits than its factorization.

513536346011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111083 (or 1111052 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 513536346011 in words is "five hundred thirteen billion, five hundred thirty-six million, three hundred forty-six thousand, eleven".