505405435535352 has 144 divisors (see below), whose sum is σ = 1583742928677000. Its totient is φ = 145092469484160.

The previous prime is 505405435535311. The next prime is 505405435535359. The reversal of 505405435535352 is 253535534504505.

505405435535352 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 0 + 54 + 3 + 5 + 53 + 535 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505405435535359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1526480827 + ... + 1526811882.

Almost surely, 2^{505405435535352} is an apocalyptic number.

It is an amenable number.

505405435535352 is an abundant number, since it is smaller than the sum of its proper divisors (1078337493141648).

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

505405435535352 is a wasteful number, since it uses less digits than its factorization.

505405435535352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053292762 (or 3053292744 counting only the distinct ones).

The product of its (nonzero) digits is 67500000, while the sum is 54.

The spelling of 505405435535352 in words is "five hundred five trillion, four hundred five billion, four hundred thirty-five million, five hundred thirty-five thousand, three hundred fifty-two".