513661243205 has 32 divisors (see below), whose sum is σ = 688923398016. Its totient is φ = 364410880000.

The previous prime is 513661243171. The next prime is 513661243223. The reversal of 513661243205 is 502342166315.

It is not a de Polignac number, because 513661243205 - 2¹⁸ = 513660981061 is a prime.

It is a super-4 number, since 4×513661243205⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27413690 + ... + 27432420.

It is an arithmetic number, because the mean of its divisors is an integer number (21528856188).

Almost surely, 2^513661243205 is an apocalyptic number.

513661243205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513661243205 is a deficient number, since it is larger than the sum of its proper divisors (175262154811).

513661243205 is a wasteful number, since it uses less digits than its factorization.

513661243205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30949.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 513661243205 in words is "five hundred thirteen billion, six hundred sixty-one million, two hundred forty-three thousand, two hundred five".