505120032 has 36 divisors (see below), whose sum is σ = 1436435910. Its totient is φ = 168373248.

The previous prime is 505120027. The next prime is 505120067. The reversal of 505120032 is 230021505.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 395373456 + 109746576 = 19884^2 + 10476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 505119987 and 505120014.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876657 + ... + 877232.

Almost surely, 2^505120032 is an apocalyptic number.

It is an amenable number.

505120032 is an abundant number, since it is smaller than the sum of its proper divisors (931315878).

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

505120032 is a wasteful number, since it uses less digits than its factorization.

505120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753905 (or 1753894 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505120032 is about 22474.8755725143. The cubic root of 505120032 is about 796.4005122327.

Adding to 505120032 its reverse (230021505), we get a palindrome (735141537).

The spelling of 505120032 in words is "five hundred five million, one hundred twenty thousand, thirty-two".