505310000832 has 784 divisors, whose sum is σ = 1959460517952. Its totient is φ = 125411328000.

The previous prime is 505310000831. The next prime is 505310000893. The reversal of 505310000832 is 238000013505.

505310000832 is a `hidden beast` number, since 50 + 531 + 0 + 0 + 0 + 0 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505310000796 and 505310000805.

It is not an unprimeable number, because it can be changed into a prime (505310000831) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72173332 + ... + 72180332.

Almost surely, 2^505310000832 is an apocalyptic number.

505310000832 is a gapful number since it is divisible by the number (52) 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 505310000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979730258976).

505310000832 is an abundant number, since it is smaller than the sum of its proper divisors (1454150517120).

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

505310000832 is a wasteful number, since it uses less digits than its factorization.

505310000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 505310000832 in words is "five hundred five billion, three hundred ten million, eight hundred thirty-two", and thus it is an aban number.