1335253122405 has 12 divisors (see below), whose sum is σ = 2314438745580. Its totient is φ = 712134998592.

The previous prime is 1335253122383. The next prime is 1335253122419. The reversal of 1335253122405 is 5042213525331.

1335253122405 is a `hidden beast` number, since 1 + 3 + 3 + 525 + 3 + 122 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 936468450369 + 398784672036 = 967713^2 + 631494^2 .

It is not a de Polignac number, because 1335253122405 - 2⁸ = 1335253122149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1335253122405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14836145760 + ... + 14836145849.

It is an arithmetic number, because the mean of its divisors is an integer number (192869895465).

Almost surely, 2^{1335253122405} is an apocalyptic number.

1335253122405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1335253122405 is a deficient number, since it is larger than the sum of its proper divisors (979185623175).

1335253122405 is a wasteful number, since it uses less digits than its factorization.

1335253122405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672291620 (or 29672291617 counting only the distinct ones).

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

Adding to 1335253122405 its reverse (5042213525331), we get a palindrome (6377466647736).

The spelling of 1335253122405 in words is "one trillion, three hundred thirty-five billion, two hundred fifty-three million, one hundred twenty-two thousand, four hundred five".