505612415605 has 24 divisors (see below), whose sum is σ = 667220737176. Its totient is φ = 367545108480.

The previous prime is 505612415603. The next prime is 505612415663. The reversal of 505612415605 is 506514216505.

It can be written as a sum of positive squares in 4 ways, for example, as 1628848881 + 503983566724 = 40359^2 + 709918^2 .

It is not a de Polignac number, because 505612415605 - 2¹ = 505612415603 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505612415603) 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, 1097349 + ... + 1488421.

It is an arithmetic number, because the mean of its divisors is an integer number (27800864049).

Almost surely, 2^505612415605 is an apocalyptic number.

505612415605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505612415605 is a deficient number, since it is larger than the sum of its proper divisors (161608321571).

505612415605 is a wasteful number, since it uses less digits than its factorization.

505612415605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393237 (or 393226 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

Subtracting 505612415605 from its reverse (506514216505), we obtain a square (901800900 = 30030²).

The spelling of 505612415605 in words is "five hundred five billion, six hundred twelve million, four hundred fifteen thousand, six hundred five".