513933444 has 24 divisors (see below), whose sum is σ = 1332420320. Its totient is φ = 171311112.

The previous prime is 513933347. The next prime is 513933461. The reversal of 513933444 is 444339315.

It is a super-2 number, since 2×513933444² = 528255169723402272, which contains 22 as substring.

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 = 513933399 and 513933408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379214 + ... + 2379429.

Almost surely, 2^513933444 is an apocalyptic number.

513933444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513933444 is an abundant number, since it is smaller than the sum of its proper divisors (818486876).

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

513933444 is a wasteful number, since it uses less digits than its factorization.

513933444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758656 (or 4758648 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 513933444 is about 22670.1002203343. The cubic root of 513933444 is about 801.0057371694.

It can be divided in two parts, 5139 and 33444, that added together give a palindrome (38583).

The spelling of 513933444 in words is "five hundred thirteen million, nine hundred thirty-three thousand, four hundred forty-four".