506065632 has 24 divisors (see below), whose sum is σ = 1328422536. Its totient is φ = 168688512.

The previous prime is 506065621. The next prime is 506065633. The reversal of 506065632 is 236560605.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×506065632² = 512204847783118848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 506065593 and 506065602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506065633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2635663 + ... + 2635854.

It is an arithmetic number, because the mean of its divisors is an integer number (55350939).

Almost surely, 2^506065632 is an apocalyptic number.

It is an amenable number.

506065632 is an abundant number, since it is smaller than the sum of its proper divisors (822356904).

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

506065632 is a wasteful number, since it uses less digits than its factorization.

506065632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271530 (or 5271522 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 506065632 is about 22495.9025602442. The cubic root of 506065632 is about 796.8971644062.

The spelling of 506065632 in words is "five hundred six million, sixty-five thousand, six hundred thirty-two".