501062144 has 80 divisors (see below), whose sum is σ = 1118098080. Its totient is φ = 222351360.

The previous prime is 501062137. The next prime is 501062147. The reversal of 501062144 is 441260105.

It is not an unprimeable number, because it can be changed into a prime (501062147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241142 + ... + 243210.

It is an arithmetic number, because the mean of its divisors is an integer number (13976226).

Almost surely, 2^501062144 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 501062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559049040).

501062144 is an abundant number, since it is smaller than the sum of its proper divisors (617035936).

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

501062144 is a wasteful number, since it uses less digits than its factorization.

501062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 501062144 is about 22384.4174371369. The cubic root of 501062144 is about 794.2621446593.

The spelling of 501062144 in words is "five hundred one million, sixty-two thousand, one hundred forty-four".