513321536 has 112 divisors (see below), whose sum is σ = 1278111744. Its totient is φ = 199120896.

The previous prime is 513321533. The next prime is 513321541. The reversal of 513321536 is 635123315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 513321499 and 513321508.

It is not an unprimeable number, because it can be changed into a prime (513321533) 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, 307841 + ... + 309503.

It is an arithmetic number, because the mean of its divisors is an integer number (11411712).

Almost surely, 2^513321536 is an apocalyptic number.

513321536 is a gapful number since it is divisible by the number (56) 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 513321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

513321536 is an abundant number, since it is smaller than the sum of its proper divisors (764790208).

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

513321536 is a wasteful number, since it uses less digits than its factorization.

513321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1738 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

The square root of 513321536 is about 22656.6002745337. The cubic root of 513321536 is about 800.6877086516.

The spelling of 513321536 in words is "five hundred thirteen million, three hundred twenty-one thousand, five hundred thirty-six".