505406353000 has 32 divisors (see below), whose sum is σ = 1182650868360. Its totient is φ = 202162540800.

The previous prime is 505406352923. The next prime is 505406353013. The reversal of 505406353000 is 353604505.

It can be written as a sum of positive squares in 4 ways, for example, as 123820941924 + 381585411076 = 351882^2 + 617726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252702177 + ... + 252704176.

Almost surely, 2^505406353000 is an apocalyptic number.

505406353000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505406353000 is an abundant number, since it is smaller than the sum of its proper divisors (677244515360).

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

505406353000 is a wasteful number, since it uses less digits than its factorization.

505406353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505406374 (or 505406360 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 505406353000 its reverse (353604505), we get a palindrome (505759957505).

The spelling of 505406353000 in words is "five hundred five billion, four hundred six million, three hundred fifty-three thousand".