505055501005 has 24 divisors (see below), whose sum is σ = 666233451576. Its totient is φ = 367279418880.

The previous prime is 505055501003. The next prime is 505055501029. The reversal of 505055501005 is 500105550505.

It can be written as a sum of positive squares in 4 ways, for example, as 168824839689 + 336230661316 = 410883^2 + 579854^2 .

It is not a de Polignac number, because 505055501005 - 2¹ = 505055501003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505055501003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7940409 + ... + 8003761.

It is an arithmetic number, because the mean of its divisors is an integer number (27759727149).

Almost surely, 2^505055501005 is an apocalyptic number.

505055501005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505055501005 is a deficient number, since it is larger than the sum of its proper divisors (161177950571).

505055501005 is a wasteful number, since it uses less digits than its factorization.

505055501005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76557 (or 76546 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 31.

The spelling of 505055501005 in words is "five hundred five billion, fifty-five million, five hundred one thousand, five".