2135105053605 has 48 divisors (see below), whose sum is σ = 3734502847920. Its totient is φ = 1128413528064.

The previous prime is 2135105053579. The next prime is 2135105053607. The reversal of 2135105053605 is 5063505015312.

2135105053605 is a `hidden beast` number, since 2 + 1 + 35 + 10 + 5 + 0 + 5 + 3 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 216752631489 + 1918352422116 = 465567^2 + 1385046^2 .

It is not a de Polignac number, because 2135105053605 - 2⁶ = 2135105053541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2135105053605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135105053607) 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, 1753761 + ... + 2710329.

It is an arithmetic number, because the mean of its divisors is an integer number (77802142665).

Almost surely, 2^{2135105053605} is an apocalyptic number.

It is an amenable number.

2135105053605 is a deficient number, since it is larger than the sum of its proper divisors (1599397794315).

2135105053605 is a wasteful number, since it uses less digits than its factorization.

2135105053605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957030 (or 957027 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 2135105053605 in words is "two trillion, one hundred thirty-five billion, one hundred five million, fifty-three thousand, six hundred five".