505818724490352 has 400 divisors, whose sum is σ = 1838601136926400. Its totient is φ = 133402739000832.

The previous prime is 505818724490351. The next prime is 505818724490363. The reversal of 505818724490352 is 253094427818505.

It is a happy number.

505818724490352 is a `hidden beast` number, since 5 + 0 + 5 + 8 + 187 + 2 + 449 + 0 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 505818724490352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505818724490351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37985683 + ... + 49543410.

It is an arithmetic number, because the mean of its divisors is an integer number (4596502842316).

Almost surely, 2^{505818724490352} is an apocalyptic number.

505818724490352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505818724490352 is an abundant number, since it is smaller than the sum of its proper divisors (1332782412436048).

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

505818724490352 is a wasteful number, since it uses less digits than its factorization.

505818724490352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87529147 (or 87529118 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 505818724490352 in words is "five hundred five trillion, eight hundred eighteen billion, seven hundred twenty-four million, four hundred ninety thousand, three hundred fifty-two".