505055510010 has 40 divisors (see below), whose sum is σ = 1358038151316. Its totient is φ = 134681469120.

The previous prime is 505055509969. The next prime is 505055510021. The reversal of 505055510010 is 10015550505.

505055510010 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 555 + 100 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 466097040369 + 38958469641 = 682713^2 + 197379^2 .

It is a super-2 number, since 2×505055510010² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 311761851 + ... + 311763470.

Almost surely, 2^505055510010 is an apocalyptic number.

505055510010 is an abundant number, since it is smaller than the sum of its proper divisors (852982641306).

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

505055510010 is a wasteful number, since it uses less digits than its factorization.

505055510010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623525340 (or 623525331 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 505055510010 in words is "five hundred five billion, fifty-five million, five hundred ten thousand, ten".