505115520 has 512 divisors, whose sum is σ = 2056320000. Its totient is φ = 104767488.

The previous prime is 505115477. The next prime is 505115521. The reversal of 505115520 is 25511505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505115521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561251 + ... + 8561309.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^505115520 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 505115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160000).

505115520 is an abundant number, since it is smaller than the sum of its proper divisors (1551204480).

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

505115520 is a wasteful number, since it uses less digits than its factorization.

505115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 505115520 is about 22474.7751935364. The cubic root of 505115520 is about 796.3981409351.

The spelling of 505115520 in words is "five hundred five million, one hundred fifteen thousand, five hundred twenty".