501272064 has 280 divisors, whose sum is σ = 1610120160. Its totient is φ = 155271168.

The previous prime is 501272053. The next prime is 501272071. The reversal of 501272064 is 460272105.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6345177 + ... + 6345255.

Almost surely, 2^501272064 is an apocalyptic number.

501272064 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 501272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805060080).

501272064 is an abundant number, since it is smaller than the sum of its proper divisors (1108848096).

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

501272064 is an frugal number, since it uses more digits than its factorization.

501272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 501272064 is about 22389.1059223007. The cubic root of 501272064 is about 794.3730478895.

The spelling of 501272064 in words is "five hundred one million, two hundred seventy-two thousand, sixty-four".