905013135 has 32 divisors (see below), whose sum is σ = 1732678080. Its totient is φ = 445544064.

The previous prime is 905013119. The next prime is 905013167. The reversal of 905013135 is 531310509.

It is not a de Polignac number, because 905013135 - 2⁴ = 905013119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 905013099 and 905013108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256084 + ... + 259593.

It is an arithmetic number, because the mean of its divisors is an integer number (54146190).

Almost surely, 2^905013135 is an apocalyptic number.

905013135 is a deficient number, since it is larger than the sum of its proper divisors (827664945).

905013135 is a wasteful number, since it uses less digits than its factorization.

905013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515704 (or 515698 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 905013135 is about 30083.4362232774. The cubic root of 905013135 is about 967.2787066743.

It can be divided in two parts, 90501 and 3135, that added together give a square (93636 = 306²).

The spelling of 905013135 in words is "nine hundred five million, thirteen thousand, one hundred thirty-five".