505218060 has 120 divisors (see below), whose sum is σ = 1594568976. Its totient is φ = 133902720.

The previous prime is 505217971. The next prime is 505218079. The reversal of 505218060 is 60812505.

505218060 = 248² + 249² + ... + 1152².

505218060 is a `hidden beast` number, since 5 + 0 + 521 + 80 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292359 + ... + 294081.

Almost surely, 2^505218060 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 505218060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797284488).

505218060 is an abundant number, since it is smaller than the sum of its proper divisors (1089350916).

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

505218060 is a wasteful number, since it uses less digits than its factorization.

505218060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 505218060 is about 22477.0563019271. The cubic root of 505218060 is about 796.4520277107.

The spelling of 505218060 in words is "five hundred five million, two hundred eighteen thousand, sixty".