501082140 has 384 divisors, whose sum is σ = 1755758592. Its totient is φ = 105431040.

The previous prime is 501082133. The next prime is 501082151. The reversal of 501082140 is 41280105.

It is a super-2 number, since 2×501082140² = 502166622053959200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9454354 + ... + 9454406.

It is an arithmetic number, because the mean of its divisors is an integer number (4572288).

Almost surely, 2^501082140 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 501082140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877879296).

501082140 is an abundant number, since it is smaller than the sum of its proper divisors (1254676452).

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

501082140 is a wasteful number, since it uses less digits than its factorization.

501082140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 501082140 is about 22384.8640826787. The cubic root of 501082140 is about 794.2727101183.

The spelling of 501082140 in words is "five hundred one million, eighty-two thousand, one hundred forty".