513844344 has 128 divisors (see below), whose sum is σ = 1586995200. Its totient is φ = 152979840.

The previous prime is 513844343. The next prime is 513844369. The reversal of 513844344 is 443448315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513844299 and 513844308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513844343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84097 + ... + 89999.

It is an arithmetic number, because the mean of its divisors is an integer number (12398400).

Almost surely, 2^513844344 is an apocalyptic number.

513844344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513844344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793497600).

513844344 is an abundant number, since it is smaller than the sum of its proper divisors (1073150856).

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

513844344 is a wasteful number, since it uses less digits than its factorization.

513844344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5952 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 513844344 is about 22668.1349916573. The cubic root of 513844344 is about 800.9594447057.

The spelling of 513844344 in words is "five hundred thirteen million, eight hundred forty-four thousand, three hundred forty-four".