505561500 has 336 divisors, whose sum is σ = 1766462880. Its totient is φ = 125971200.

The previous prime is 505561499. The next prime is 505561513. The reversal of 505561500 is 5165505.

505561500 is a `hidden beast` number, since 50 + 5 + 561 + 50 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6925464 + ... + 6925536.

It is an arithmetic number, because the mean of its divisors is an integer number (5257330).

Almost surely, 2^505561500 is an apocalyptic number.

505561500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883231440).

505561500 is an abundant number, since it is smaller than the sum of its proper divisors (1260901380).

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

505561500 is a wasteful number, since it uses less digits than its factorization.

505561500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505561500 is about 22484.6947944596. The cubic root of 505561500 is about 796.6324590585.

The spelling of 505561500 in words is "five hundred five million, five hundred sixty-one thousand, five hundred".