506635207650 has 1008 divisors, whose sum is σ = 1729971649728. Its totient is φ = 108755136000.

The previous prime is 506635207607. The next prime is 506635207699. The reversal of 506635207650 is 56702536605.

506635207650 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 3 + 520 + 76 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506635207596 and 506635207605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 7135707115 + ... + 7135707185.

It is an arithmetic number, because the mean of its divisors is an integer number (1716241716).

Almost surely, 2^506635207650 is an apocalyptic number.

506635207650 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 506635207650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864985824864).

506635207650 is an abundant number, since it is smaller than the sum of its proper divisors (1223336442078).

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

506635207650 is a wasteful number, since it uses less digits than its factorization.

506635207650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 506635207650 in words is "five hundred six billion, six hundred thirty-five million, two hundred seven thousand, six hundred fifty".