501315135200 has 288 divisors, whose sum is σ = 1462386713760. Its totient is φ = 165655347200.

The previous prime is 501315135151. The next prime is 501315135247. The reversal of 501315135200 is 2531513105.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 501315135200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4280624 + ... + 4396176.

It is an arithmetic number, because the mean of its divisors is an integer number (5077731645).

Almost surely, 2^501315135200 is an apocalyptic number.

501315135200 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 501315135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731193356880).

501315135200 is an abundant number, since it is smaller than the sum of its proper divisors (961071578560).

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

501315135200 is a wasteful number, since it uses less digits than its factorization.

501315135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115630 (or 115617 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 501315135200 its reverse (2531513105), we get a palindrome (503846648305).

The spelling of 501315135200 in words is "five hundred one billion, three hundred fifteen million, one hundred thirty-five thousand, two hundred".