1306004877135 has 256 divisors, whose sum is σ = 2924689489920. Its totient is φ = 539786903040.

The previous prime is 1306004877101. The next prime is 1306004877217. The reversal of 1306004877135 is 5317784006031.

1306004877135 is a `hidden beast` number, since 1 + 3 + 0 + 600 + 4 + 8 + 7 + 7 + 1 + 35 = 666.

It is not a de Polignac number, because 1306004877135 - 2²⁵ = 1305971322703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 28950217 + ... + 28995293.

It is an arithmetic number, because the mean of its divisors is an integer number (11424568320).

Almost surely, 2^{1306004877135} is an apocalyptic number.

1306004877135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1306004877135 is an abundant number, since it is smaller than the sum of its proper divisors (1618684612785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306004877135 is a wasteful number, since it uses less digits than its factorization.

1306004877135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45195 (or 45189 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1306004877135 in words is "one trillion, three hundred six billion, four million, eight hundred seventy-seven thousand, one hundred thirty-five".