506265005600 has 36 divisors (see below), whose sum is σ = 1235919446874. Its totient is φ = 202506001920.

The previous prime is 506265005569. The next prime is 506265005663. The reversal of 506265005600 is 6500562605.

It can be written as a sum of positive squares in 3 ways, for example, as 476337389584 + 29927616016 = 690172^2 + 172996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 316414829 + ... + 316416428.

Almost surely, 2^506265005600 is an apocalyptic number.

506265005600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506265005600 is an abundant number, since it is smaller than the sum of its proper divisors (729654441274).

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

506265005600 is a wasteful number, since it uses less digits than its factorization.

506265005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632831277 (or 632831264 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 506265005600 in words is "five hundred six billion, two hundred sixty-five million, five thousand, six hundred".