501221125 has 8 divisors (see below), whose sum is σ = 625524120. Its totient is φ = 400976800.

The previous prime is 501221099. The next prime is 501221141. The reversal of 501221125 is 521122105.

It can be written as a sum of positive squares in 4 ways, for example, as 7403841 + 493817284 = 2721^2 + 22222^2 .

It is not a de Polignac number, because 501221125 - 2⁵ = 501221093 is a prime.

It is a super-3 number, since 3×501221125³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004760 + ... + 2005009.

It is an arithmetic number, because the mean of its divisors is an integer number (78190515).

Almost surely, 2^501221125 is an apocalyptic number.

It is an amenable number.

501221125 is a deficient number, since it is larger than the sum of its proper divisors (124302995).

501221125 is an equidigital number, since it uses as much as digits as its factorization.

501221125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009784 (or 4009774 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 501221125 is about 22387.9683088931. The cubic root of 501221125 is about 794.3461390560.

The spelling of 501221125 in words is "five hundred one million, two hundred twenty-one thousand, one hundred twenty-five".