505273263552 has 224 divisors, whose sum is σ = 1507421115200. Its totient is φ = 165946060800.

The previous prime is 505273263529. The next prime is 505273263589. The reversal of 505273263552 is 255362372505.

505273263552 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 7 + 3 + 2 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505273263498 and 505273263507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34084302 + ... + 34099122.

It is an arithmetic number, because the mean of its divisors is an integer number (6729558550).

Almost surely, 2^505273263552 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 505273263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753710557600).

505273263552 is an abundant number, since it is smaller than the sum of its proper divisors (1002147851648).

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

505273263552 is a wasteful number, since it uses less digits than its factorization.

505273263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 505273263552 in words is "five hundred five billion, two hundred seventy-three million, two hundred sixty-three thousand, five hundred fifty-two".