506350251352500 has 120 divisors (see below), whose sum is σ = 1477089770321088. Its totient is φ = 134962030560000.

The previous prime is 506350251352489. The next prime is 506350251352523. The reversal of 506350251352500 is 5253152053605.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522241 + ... + 31827240.

Almost surely, 2^{506350251352500} is an apocalyptic number.

506350251352500 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 506350251352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738544885160544).

506350251352500 is an abundant number, since it is smaller than the sum of its proper divisors (970739518968588).

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

506350251352500 is a wasteful number, since it uses less digits than its factorization.

506350251352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32351595 (or 32351578 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 506350251352500 in words is "five hundred six trillion, three hundred fifty billion, two hundred fifty-one million, three hundred fifty-two thousand, five hundred".