505517536 has 48 divisors (see below), whose sum is σ = 1023599808. Its totient is φ = 245606400.

The previous prime is 505517513. The next prime is 505517543. The reversal of 505517536 is 635715505.

It is a super-2 number, since 2×505517536² = 511095958407022592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505517495 and 505517504.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410041 + ... + 411271.

It is an arithmetic number, because the mean of its divisors is an integer number (21324996).

Almost surely, 2^505517536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505517536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511799904).

505517536 is an abundant number, since it is smaller than the sum of its proper divisors (518082272).

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

505517536 is a wasteful number, since it uses less digits than its factorization.

505517536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 37.

The square root of 505517536 is about 22483.7171304035. The cubic root of 505517536 is about 796.6093664742.

The spelling of 505517536 in words is "five hundred five million, five hundred seventeen thousand, five hundred thirty-six".