505550505005 has 24 divisors (see below), whose sum is σ = 759992412312. Its totient is φ = 319996801152.

The previous prime is 505550504933. The next prime is 505550505049. The reversal of 505550505005 is 500505055505.

It can be written as a sum of positive squares in 4 ways, for example, as 16667068201 + 488883436804 = 129101^2 + 699202^2 .

It is not a de Polignac number, because 505550505005 - 2²⁶ = 505483396141 is a prime.

It is a super-2 number, since 2×505550505005² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79361102 + ... + 79367471.

It is an arithmetic number, because the mean of its divisors is an integer number (31666350513).

Almost surely, 2^505550505005 is an apocalyptic number.

It is an amenable number.

505550505005 is a deficient number, since it is larger than the sum of its proper divisors (254441907307).

505550505005 is a wasteful number, since it uses less digits than its factorization.

505550505005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158728605 (or 158728598 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 35.

The spelling of 505550505005 in words is "five hundred five billion, five hundred fifty million, five hundred five thousand, five".