506013352640550 has 288 divisors, whose sum is σ = 1421907880330080. Its totient is φ = 128848430592000.

The previous prime is 506013352640539. The next prime is 506013352640563. The reversal of 506013352640550 is 55046253310605.

506013352640550 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 1 + 3 + 3 + 52 + 6 + 40 + 550 = 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 = 506013352640496 and 506013352640505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 827730000 + ... + 828341100.

It is an arithmetic number, because the mean of its divisors is an integer number (4937180140035).

Almost surely, 2^{506013352640550} is an apocalyptic number.

506013352640550 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 506013352640550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710953940165040).

506013352640550 is an abundant number, since it is smaller than the sum of its proper divisors (915894527689530).

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

506013352640550 is a wasteful number, since it uses less digits than its factorization.

506013352640550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611848 (or 611840 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 506013352640550 in words is "five hundred six trillion, thirteen billion, three hundred fifty-two million, six hundred forty thousand, five hundred fifty".