513219188136 has 128 divisors (see below), whose sum is σ = 1407476995200. Its totient is φ = 155224473600.

The previous prime is 513219188129. The next prime is 513219188143. The reversal of 513219188136 is 631881912315.

It is an interprime number because it is at equal distance from previous prime (513219188129) and next prime (513219188143).

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, 7930711 + ... + 7995161.

It is an arithmetic number, because the mean of its divisors is an integer number (10995914025).

Almost surely, 2^513219188136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513219188136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703738497600).

513219188136 is an abundant number, since it is smaller than the sum of its proper divisors (894257807064).

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

513219188136 is a wasteful number, since it uses less digits than its factorization.

513219188136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65179 (or 65175 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 513219188136 in words is "five hundred thirteen billion, two hundred nineteen million, one hundred eighty-eight thousand, one hundred thirty-six".