505831541 has 2 divisors, whose sum is σ = 505831542. Its totient is φ = 505831540.

The previous prime is 505831519. The next prime is 505831553. The reversal of 505831541 is 145138505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459930916 + 45900625 = 21446^2 + 6775^2 .

It is a cyclic number.

It is not a de Polignac number, because 505831541 - 2¹⁸ = 505569397 is a prime.

It is a super-3 number, since 3×505831541³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505831498 and 505831507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505831561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252915770 + 252915771.

It is an arithmetic number, because the mean of its divisors is an integer number (252915771).

Almost surely, 2^505831541 is an apocalyptic number.

It is an amenable number.

505831541 is a deficient number, since it is larger than the sum of its proper divisors (1).

505831541 is an equidigital number, since it uses as much as digits as its factorization.

505831541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 505831541 is about 22490.6989886931. The cubic root of 505831541 is about 796.7742717658.

The spelling of 505831541 in words is "five hundred five million, eight hundred thirty-one thousand, five hundred forty-one".