513102044376642 has 128 divisors (see below), whose sum is σ = 1243898570188800. Its totient is φ = 137743187696640.

The previous prime is 513102044376541. The next prime is 513102044376743. The reversal of 513102044376642 is 246673440201315.

It is an interprime number because it is at equal distance from previous prime (513102044376541) and next prime (513102044376743).

It is a super-3 number, since 3×513102044376642³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513102044376591 and 513102044376600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2022213168 + ... + 2022466884.

It is an arithmetic number, because the mean of its divisors is an integer number (9717957579600).

Almost surely, 2^{513102044376642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513102044376642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621949285094400).

513102044376642 is an abundant number, since it is smaller than the sum of its proper divisors (730796525812158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513102044376642 is a wasteful number, since it uses less digits than its factorization.

513102044376642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258536.

The product of its (nonzero) digits is 2903040, while the sum is 48.

Adding to 513102044376642 its reverse (246673440201315), we get a palindrome (759775484577957).

The spelling of 513102044376642 in words is "five hundred thirteen trillion, one hundred two billion, forty-four million, three hundred seventy-six thousand, six hundred forty-two".