4135364505 has 48 divisors (see below), whose sum is σ = 7440975360. Its totient is φ = 2122329600.

The previous prime is 4135364501. The next prime is 4135364537. The reversal of 4135364505 is 5054635314.

4135364505 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 3 + 645 + 0 + 5 = 666.

It is not a de Polignac number, because 4135364505 - 2² = 4135364501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135364505.

It is not an unprimeable number, because it can be changed into a prime (4135364501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241425 + ... + 257985.

It is an arithmetic number, because the mean of its divisors is an integer number (155020320).

Almost surely, 2^4135364505 is an apocalyptic number.

4135364505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4135364505 is a deficient number, since it is larger than the sum of its proper divisors (3305610855).

4135364505 is a wasteful number, since it uses less digits than its factorization.

4135364505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16782 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 4135364505 is about 64306.7998348542. The cubic root of 4135364505 is about 1605.1092539248.

Adding to 4135364505 its reverse (5054635314), we get a palindrome (9189999819).

The spelling of 4135364505 in words is "four billion, one hundred thirty-five million, three hundred sixty-four thousand, five hundred five".