506756250 has 480 divisors, whose sum is σ = 1905628032. Its totient is φ = 97200000.

The previous prime is 506756249. The next prime is 506756293. The reversal of 506756250 is 52657605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38981244 + ... + 38981256.

Almost surely, 2^506756250 is an apocalyptic number.

506756250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506756250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952814016).

506756250 is an abundant number, since it is smaller than the sum of its proper divisors (1398871782).

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

506756250 is a wasteful number, since it uses less digits than its factorization.

506756250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 506756250 is about 22511.2471889054. The cubic root of 506756250 is about 797.2595030235.

The spelling of 506756250 in words is "five hundred six million, seven hundred fifty-six thousand, two hundred fifty".