1305135135 has 48 divisors (see below), whose sum is σ = 2429144640. Its totient is φ = 645872640.

The previous prime is 1305135127. The next prime is 1305135157. The reversal of 1305135135 is 5315315031.

1305135135 is a `hidden beast` number, since 1 + 305 + 1 + 351 + 3 + 5 = 666.

It is not a de Polignac number, because 1305135135 - 2³ = 1305135127 is a prime.

It is a super-2 number, since 2×1305135135² = 3406755441222936450, which contains 22 as substring.

1305135135 is a modest number, since divided by 135135 gives 1305 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1305135099 and 1305135108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301 + ... + 66329.

It is an arithmetic number, because the mean of its divisors is an integer number (50607180).

Almost surely, 2^1305135135 is an apocalyptic number.

1305135135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305135135 is a deficient number, since it is larger than the sum of its proper divisors (1124009505).

1305135135 is a wasteful number, since it uses less digits than its factorization.

1305135135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24128 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 1305135135 is about 36126.6540797788. The cubic root of 1305135135 is about 1092.8280334606.

The spelling of 1305135135 in words is "one billion, three hundred five million, one hundred thirty-five thousand, one hundred thirty-five".