405052235505 has 24 divisors (see below), whose sum is σ = 702105686568. Its totient is φ = 216023198976.

The previous prime is 405052235461. The next prime is 405052235527. The reversal of 405052235505 is 505532250504.

405052235505 is a `hidden beast` number, since 4 + 0 + 50 + 52 + 2 + 3 + 550 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27505890801 + 377546344704 = 165849^2 + 614448^2 .

It is not a de Polignac number, because 405052235505 - 2¹⁷ = 405052104433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405052235505.

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, 3383349 + ... + 3501021.

It is an arithmetic number, because the mean of its divisors is an integer number (29254403607).

Almost surely, 2^405052235505 is an apocalyptic number.

405052235505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405052235505 is a deficient number, since it is larger than the sum of its proper divisors (297053451063).

405052235505 is a wasteful number, since it uses less digits than its factorization.

405052235505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194177 (or 194174 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 405052235505 in words is "four hundred five billion, fifty-two million, two hundred thirty-five thousand, five hundred five".