501506010 has 96 divisors (see below), whose sum is σ = 1335664512. Its totient is φ = 130515840.

The previous prime is 501506009. The next prime is 501506051. The reversal of 501506010 is 10605105.

501506010 is a `hidden beast` number, since 50 + 15 + 0 + 601 + 0 = 666.

It is a super-2 number, since 2×501506010² = 503016556132240200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916557 + ... + 917103.

It is an arithmetic number, because the mean of its divisors is an integer number (13913172).

Almost surely, 2^501506010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501506010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667832256).

501506010 is an abundant number, since it is smaller than the sum of its proper divisors (834158502).

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

501506010 is a wasteful number, since it uses less digits than its factorization.

501506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 501506010 is about 22394.3298627130. The cubic root of 501506010 is about 794.4966078662.

The spelling of 501506010 in words is "five hundred one million, five hundred six thousand, ten".