505404410031 has 16 divisors (see below), whose sum is σ = 749061573120. Its totient is φ = 336794838840.

The previous prime is 505404410029. The next prime is 505404410039. The reversal of 505404410031 is 130014404505.

It is a happy number.

505404410031 is a `hidden beast` number, since 50 + 540 + 4 + 41 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 505404410031 - 2¹ = 505404410029 is a prime.

It is a super-2 number, since 2×505404410031² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505404409977 and 505404410004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505404410039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863205 + ... + 3991886.

It is an arithmetic number, because the mean of its divisors is an integer number (46816348320).

Almost surely, 2^505404410031 is an apocalyptic number.

505404410031 is a deficient number, since it is larger than the sum of its proper divisors (243657163089).

505404410031 is a wasteful number, since it uses less digits than its factorization.

505404410031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857483 (or 7857477 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 505404410031 its reverse (130014404505), we get a palindrome (635418814536).

The spelling of 505404410031 in words is "five hundred five billion, four hundred four million, four hundred ten thousand, thirty-one".