501144105 has 64 divisors (see below), whose sum is σ = 1058531328. Its totient is φ = 196008960.

The previous prime is 501144073. The next prime is 501144113. The reversal of 501144105 is 501441105.

It is not a de Polignac number, because 501144105 - 2⁵ = 501144073 is a prime.

It is a super-2 number, since 2×501144105² = 502290827952502050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6874 + ... + 32396.

It is an arithmetic number, because the mean of its divisors is an integer number (16539552).

Almost surely, 2^501144105 is an apocalyptic number.

501144105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501144105 is an abundant number, since it is smaller than the sum of its proper divisors (557387223).

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

501144105 is a wasteful number, since it uses less digits than its factorization.

501144105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25566.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 501144105 is about 22386.2481224523. The cubic root of 501144105 is about 794.3054493148.

The spelling of 501144105 in words is "five hundred one million, one hundred forty-four thousand, one hundred five".