501001200 has 450 divisors, whose sum is σ = 2099569736. Its totient is φ = 112078080.

The previous prime is 501001147. The next prime is 501001211. The reversal of 501001200 is 2100105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10659577 + ... + 10659623.

Almost surely, 2^501001200 is an apocalyptic number.

501001200 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 501001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049784868).

501001200 is an abundant number, since it is smaller than the sum of its proper divisors (1598568536).

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

501001200 is a wasteful number, since it uses less digits than its factorization.

501001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 501001200 is about 22383.0560916064. The cubic root of 501001200 is about 794.2299414184.

Adding to 501001200 its reverse (2100105), we get a palindrome (503101305).

The spelling of 501001200 in words is "five hundred one million, one thousand, two hundred".