501213312 has 256 divisors, whose sum is σ = 1652400000. Its totient is φ = 148635648.

The previous prime is 501213287. The next prime is 501213337. The reversal of 501213312 is 213312105.

It is an interprime number because it is at equal distance from previous prime (501213287) and next prime (501213337).

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 31 ways as a sum of consecutive naturals, for example, 1116064 + ... + 1116512.

Almost surely, 2^501213312 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 501213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826200000).

501213312 is an abundant number, since it is smaller than the sum of its proper divisors (1151186688).

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

501213312 is a wasteful number, since it uses less digits than its factorization.

501213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

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

The square root of 501213312 is about 22387.7938171674. The cubic root of 501213312 is about 794.3420116305.

Adding to 501213312 its reverse (213312105), we get a palindrome (714525417).

The spelling of 501213312 in words is "five hundred one million, two hundred thirteen thousand, three hundred twelve".