501135984 has 120 divisors (see below), whose sum is σ = 1478971312. Its totient is φ = 164229120.

The previous prime is 501135977. The next prime is 501135991. The reversal of 501135984 is 489531105.

501135984 is a `hidden beast` number, since 50 + 1 + 13 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (501135977) and next prime (501135991).

It is a super-3 number, since 3×501135984³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236112 + ... + 238224.

Almost surely, 2^501135984 is an apocalyptic number.

501135984 is a gapful number since it is divisible by the number (54) 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 501135984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739485656).

501135984 is an abundant number, since it is smaller than the sum of its proper divisors (977835328).

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

501135984 is a wasteful number, since it uses less digits than its factorization.

501135984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 501135984 is about 22386.0667380404. The cubic root of 501135984 is about 794.3011587396.

The spelling of 501135984 in words is "five hundred one million, one hundred thirty-five thousand, nine hundred eighty-four".