505442240541 has 40 divisors (see below), whose sum is σ = 865717751360. Its totient is φ = 287883243072.

The previous prime is 505442240539. The next prime is 505442240543. The reversal of 505442240541 is 145042244505.

505442240541 is a `hidden beast` number, since 5 + 0 + 54 + 4 + 22 + 40 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (505442240539) and next prime (505442240543).

It is not a de Polignac number, because 505442240541 - 2¹ = 505442240539 is a prime.

It is a super-2 number, since 2×505442240541² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505442240496 and 505442240505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505442240543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277776 + ... + 1625913.

It is an arithmetic number, because the mean of its divisors is an integer number (21642943784).

Almost surely, 2^505442240541 is an apocalyptic number.

It is an amenable number.

505442240541 is a deficient number, since it is larger than the sum of its proper divisors (360275510819).

505442240541 is a wasteful number, since it uses less digits than its factorization.

505442240541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904015 (or 2904006 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 505442240541 in words is "five hundred five billion, four hundred forty-two million, two hundred forty thousand, five hundred forty-one".