513005432 has 32 divisors (see below), whose sum is σ = 1011415680. Its totient is φ = 243466080.

The previous prime is 513005431. The next prime is 513005461. The reversal of 513005432 is 234500315.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 513005398 and 513005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513005431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13463 + ... + 34745.

It is an arithmetic number, because the mean of its divisors is an integer number (31606740).

Almost surely, 2^513005432 is an apocalyptic number.

It is an amenable number.

513005432 is a deficient number, since it is larger than the sum of its proper divisors (498410248).

513005432 is a wasteful number, since it uses less digits than its factorization.

513005432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21443 (or 21439 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 513005432 is about 22649.6232198242. The cubic root of 513005432 is about 800.5233200955.

Adding to 513005432 its reverse (234500315), we get a palindrome (747505747).

The spelling of 513005432 in words is "five hundred thirteen million, five thousand, four hundred thirty-two".