506782500 has 240 divisors, whose sum is σ = 1731945600. Its totient is φ = 115248000.

The previous prime is 506782499. The next prime is 506782517. The reversal of 506782500 is 5287605.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2572402 + ... + 2572598.

It is an arithmetic number, because the mean of its divisors is an integer number (7216440).

Almost surely, 2^506782500 is an apocalyptic number.

506782500 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 506782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865972800).

506782500 is an abundant number, since it is smaller than the sum of its proper divisors (1225163100).

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

506782500 is a wasteful number, since it uses less digits than its factorization.

506782500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 506782500 is about 22511.8302232404. The cubic root of 506782500 is about 797.2732688137.

The spelling of 506782500 in words is "five hundred six million, seven hundred eighty-two thousand, five hundred".