501461513280 has 1120 divisors, whose sum is σ = 2271444215040. Its totient is φ = 102140559360.

The previous prime is 501461513239. The next prime is 501461513317. The reversal of 501461513280 is 82315164105.

501461513280 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 61 + 513 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68399215 + ... + 68406545.

It is an arithmetic number, because the mean of its divisors is an integer number (2028075192).

Almost surely, 2^501461513280 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 501461513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135722107520).

501461513280 is an abundant number, since it is smaller than the sum of its proper divisors (1769982701760).

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

501461513280 is a wasteful number, since it uses less digits than its factorization.

501461513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 501461513280 its reverse (82315164105), we get a palindrome (583776677385).

The spelling of 501461513280 in words is "five hundred one billion, four hundred sixty-one million, five hundred thirteen thousand, two hundred eighty".