500335625465256 has 384 divisors, whose sum is σ = 1511656134082560. Its totient is φ = 137454603955200.

The previous prime is 500335625465233. The next prime is 500335625465267. The reversal of 500335625465256 is 652564526533005.

It is a junction number, because it is equal to n+sod(n) for n = 500335625465196 and 500335625465205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3625735396 + ... + 3625873388.

It is an arithmetic number, because the mean of its divisors is an integer number (3936604515840).

Almost surely, 2^{500335625465256} is an apocalyptic number.

500335625465256 is a gapful number since it is divisible by the number (56) 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 500335625465256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755828067041280).

500335625465256 is an abundant number, since it is smaller than the sum of its proper divisors (1011320508617304).

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

500335625465256 is a wasteful number, since it uses less digits than its factorization.

500335625465256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138685 (or 138674 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 57.

The spelling of 500335625465256 in words is "five hundred trillion, three hundred thirty-five billion, six hundred twenty-five million, four hundred sixty-five thousand, two hundred fifty-six".