505516032 has 208 divisors, whose sum is σ = 1714212480. Its totient is φ = 144211968.

The previous prime is 505516027. The next prime is 505516049. The reversal of 505516032 is 230615505.

505516032 is a `hidden beast` number, since 5 + 0 + 5 + 51 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505515987 and 505516005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773818 + ... + 774470.

Almost surely, 2^505516032 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 505516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106240).

505516032 is an abundant number, since it is smaller than the sum of its proper divisors (1208696448).

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

505516032 is an equidigital number, since it uses as much as digits as its factorization.

505516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505516032 is about 22483.6836839518. The cubic root of 505516032 is about 796.6085764576.

The spelling of 505516032 in words is "five hundred five million, five hundred sixteen thousand, thirty-two".