501213600 has 216 divisors, whose sum is σ = 1795510080. Its totient is φ = 131535360.

The previous prime is 501213599. The next prime is 501213619. The reversal of 501213600 is 6312105.

501213600 is a `hidden beast` number, since 50 + 1 + 2 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 481881 + ... + 482919.

Almost surely, 2^501213600 is an apocalyptic number.

501213600 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 501213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897755040).

501213600 is an abundant number, since it is smaller than the sum of its proper divisors (1294296480).

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

501213600 is a wasteful number, since it uses less digits than its factorization.

501213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 501213600 is about 22387.8002492429. The cubic root of 501213600 is about 794.3421637749.

Adding to 501213600 its reverse (6312105), we get a palindrome (507525705).

The spelling of 501213600 in words is "five hundred one million, two hundred thirteen thousand, six hundred".