513685032 has 64 divisors (see below), whose sum is σ = 1497648000. Its totient is φ = 146764800.

The previous prime is 513685021. The next prime is 513685037. The reversal of 513685032 is 230586315.

It is a junction number, because it is equal to n+sod(n) for n = 513684984 and 513685002.

It is not an unprimeable number, because it can be changed into a prime (513685037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22969 + ... + 39432.

It is an arithmetic number, because the mean of its divisors is an integer number (23400750).

Almost surely, 2^513685032 is an apocalyptic number.

It is an amenable number.

513685032 is an abundant number, since it is smaller than the sum of its proper divisors (983962968).

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

513685032 is a wasteful number, since it uses less digits than its factorization.

513685032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62431 (or 62413 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 513685032 is about 22664.6207115848. The cubic root of 513685032 is about 800.8766598169.

The spelling of 513685032 in words is "five hundred thirteen million, six hundred eighty-five thousand, thirty-two".