505005500500 has 48 divisors (see below), whose sum is σ = 1103002874064. Its totient is φ = 201989222400.

The previous prime is 505005500497. The next prime is 505005500513. The reversal of 505005500500 is 5005500505.

It can be written as a sum of positive squares in 8 ways, for example, as 267624120976 + 237381379524 = 517324^2 + 487218^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12937012 + ... + 12975988.

It is an arithmetic number, because the mean of its divisors is an integer number (22979226543).

Almost surely, 2^505005500500 is an apocalyptic number.

505005500500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505005500500 is an abundant number, since it is smaller than the sum of its proper divisors (597997373564).

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

505005500500 is a wasteful number, since it uses less digits than its factorization.

505005500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64909 (or 64897 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 25.

The spelling of 505005500500 in words is "five hundred five billion, five million, five hundred thousand, five hundred".