505404410033 has 32 divisors (see below), whose sum is σ = 563447280000. Its totient is φ = 451303114752.

The previous prime is 505404410029. The next prime is 505404410039. The reversal of 505404410033 is 330014404505.

It is a cyclic number.

It is not a de Polignac number, because 505404410033 - 2² = 505404410029 is a prime.

It is a super-2 number, since 2×505404410033² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505404409978 and 505404410005.

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 31 ways as a sum of consecutive naturals, for example, 56598113 + ... + 56607041.

It is an arithmetic number, because the mean of its divisors is an integer number (17607727500).

Almost surely, 2^505404410033 is an apocalyptic number.

It is an amenable number.

505404410033 is a deficient number, since it is larger than the sum of its proper divisors (58042869967).

505404410033 is a wasteful number, since it uses less digits than its factorization.

505404410033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 505404410033 its reverse (330014404505), we get a palindrome (835418814538).

The spelling of 505404410033 in words is "five hundred five billion, four hundred four million, four hundred ten thousand, thirty-three".