501450010000 has 100 divisors (see below), whose sum is σ = 1217324528332. Its totient is φ = 200040768000.

The previous prime is 501450009971. The next prime is 501450010043. The reversal of 501450010000 is 10054105.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 330818228224 + 170631781776 = 575168^2 + 413076^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×501450010000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3662782 + ... + 3797218.

Almost surely, 2^501450010000 is an apocalyptic number.

501450010000 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 501450010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608662264166).

501450010000 is an abundant number, since it is smaller than the sum of its proper divisors (715874518332).

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

501450010000 is a wasteful number, since it uses less digits than its factorization.

501450010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134838 (or 134817 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 501450010000 its reverse (10054105), we get a palindrome (501460064105).

The spelling of 501450010000 in words is "five hundred one billion, four hundred fifty million, ten thousand".