505406240311 has 32 divisors (see below), whose sum is σ = 593747804160. Its totient is φ = 421175462400.

The previous prime is 505406240299. The next prime is 505406240327. The reversal of 505406240311 is 113042604505.

It is a happy number.

It is not a de Polignac number, because 505406240311 - 2⁵ = 505406240279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505406240351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172668930 + ... + 172671856.

It is an arithmetic number, because the mean of its divisors is an integer number (18554618880).

Almost surely, 2^505406240311 is an apocalyptic number.

505406240311 is a deficient number, since it is larger than the sum of its proper divisors (88341563849).

505406240311 is a wasteful number, since it uses less digits than its factorization.

505406240311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 505406240311 its reverse (113042604505), we get a palindrome (618448844816).

The spelling of 505406240311 in words is "five hundred five billion, four hundred six million, two hundred forty thousand, three hundred eleven".