506505120 has 96 divisors (see below), whose sum is σ = 1740553920. Its totient is φ = 122787840.

The previous prime is 506505113. The next prime is 506505161. The reversal of 506505120 is 21505605.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 42685 + ... + 53244.

It is an arithmetic number, because the mean of its divisors is an integer number (18130770).

Almost surely, 2^506505120 is an apocalyptic number.

It is an amenable number.

506505120 is an abundant number, since it is smaller than the sum of its proper divisors (1234048800).

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

506505120 is a wasteful number, since it uses less digits than its factorization.

506505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95958 (or 95950 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 506505120 is about 22505.6686192612. The cubic root of 506505120 is about 797.1277836408.

The spelling of 506505120 in words is "five hundred six million, five hundred five thousand, one hundred twenty".