501970500 has 288 divisors, whose sum is σ = 1730776320. Its totient is φ = 125582400.

The previous prime is 501970463. The next prime is 501970523. The reversal of 501970500 is 5079105.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 4873449 + ... + 4873551.

It is an arithmetic number, because the mean of its divisors is an integer number (6009640).

Almost surely, 2^501970500 is an apocalyptic number.

501970500 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 501970500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865388160).

501970500 is an abundant number, since it is smaller than the sum of its proper divisors (1228805820).

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

501970500 is a wasteful number, since it uses less digits than its factorization.

501970500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 501970500 is about 22404.6981680182. The cubic root of 501970500 is about 794.7418171945.

The spelling of 501970500 in words is "five hundred one million, nine hundred seventy thousand, five hundred".