501001120 has 96 divisors (see below), whose sum is σ = 1259496000. Its totient is φ = 187785216.

The previous prime is 501001091. The next prime is 501001133. The reversal of 501001120 is 21100105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 501001097 and 501001106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294031 + ... + 295729.

It is an arithmetic number, because the mean of its divisors is an integer number (13119750).

Almost surely, 2^501001120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629748000).

501001120 is an abundant number, since it is smaller than the sum of its proper divisors (758494880).

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

501001120 is a wasteful number, since it uses less digits than its factorization.

501001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 501001120 is about 22383.0543045403. The cubic root of 501001120 is about 794.2298991442.

Adding to 501001120 its reverse (21100105), we get a palindrome (522101225).

The spelling of 501001120 in words is "five hundred one million, one thousand, one hundred twenty".