501141829 has 2 divisors, whose sum is σ = 501141830. Its totient is φ = 501141828.

The previous prime is 501141787. The next prime is 501141841. The reversal of 501141829 is 928141105.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 437939329 + 63202500 = 20927^2 + 7950^2 .

It is a cyclic number.

It is not a de Polignac number, because 501141829 - 2¹⁵ = 501109061 is a prime.

It is a super-2 number, since 2×501141829² = 502286265546930482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 501141829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (501141859) by changing a digit.

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 as a sum of consecutive naturals, namely, 250570914 + 250570915.

It is an arithmetic number, because the mean of its divisors is an integer number (250570915).

Almost surely, 2^501141829 is an apocalyptic number.

It is an amenable number.

501141829 is a deficient number, since it is larger than the sum of its proper divisors (1).

501141829 is an equidigital number, since it uses as much as digits as its factorization.

501141829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 501141829 is about 22386.1972876145. The cubic root of 501141829 is about 794.3042468383.

The spelling of 501141829 in words is "five hundred one million, one hundred forty-one thousand, eight hundred twenty-nine".