505762500 has 72 divisors (see below), whose sum is σ = 1475155584. Its totient is φ = 134860000.

The previous prime is 505762487. The next prime is 505762513. The reversal of 505762500 is 5267505.

It is an interprime number because it is at equal distance from previous prime (505762487) and next prime (505762513).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 30757 + ... + 44243.

It is an arithmetic number, because the mean of its divisors is an integer number (20488272).

Almost surely, 2^505762500 is an apocalyptic number.

505762500 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 505762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737577792).

505762500 is an abundant number, since it is smaller than the sum of its proper divisors (969393084).

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

505762500 is a wasteful number, since it uses less digits than its factorization.

505762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 505762500 is about 22489.1640573855. The cubic root of 505762500 is about 796.7380195152.

The spelling of 505762500 in words is "five hundred five million, seven hundred sixty-two thousand, five hundred".