505240545264 has 240 divisors, whose sum is σ = 1679287081248. Its totient is φ = 129648605184.

The previous prime is 505240545259. The next prime is 505240545269. The reversal of 505240545264 is 462545042505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505240545259) and next prime (505240545269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505240545269) 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 47 ways as a sum of consecutive naturals, for example, 908014 + ... + 1354610.

Almost surely, 2^505240545264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505240545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839643540624).

505240545264 is an abundant number, since it is smaller than the sum of its proper divisors (1174046535984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505240545264 is a wasteful number, since it uses less digits than its factorization.

505240545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446672 (or 446659 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 505240545264 its reverse (462545042505), we get a palindrome (967785587769).

The spelling of 505240545264 in words is "five hundred five billion, two hundred forty million, five hundred forty-five thousand, two hundred sixty-four".