501312350000 has 240 divisors, whose sum is σ = 1513617622272. Its totient is φ = 156252000000.

The previous prime is 501312349931. The next prime is 501312350009. The reversal of 501312350000 is 53213105.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (501312350009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3784895 + ... + 3915105.

Almost surely, 2^501312350000 is an apocalyptic number.

501312350000 is a gapful number since it is divisible by the number (50) 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 501312350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756808811136).

501312350000 is an abundant number, since it is smaller than the sum of its proper divisors (1012305272272).

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

501312350000 is a wasteful number, since it uses less digits than its factorization.

501312350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130262 (or 130236 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 501312350000 its reverse (53213105), we get a palindrome (501365563105).

The spelling of 501312350000 in words is "five hundred one billion, three hundred twelve million, three hundred fifty thousand".