2135264625312 has 144 divisors (see below), whose sum is σ = 7021735795872. Its totient is φ = 563146698240.

The previous prime is 2135264625229. The next prime is 2135264625317.

2135264625312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2135264625317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17397514 + ... + 17519817.

It is an arithmetic number, because the mean of its divisors is an integer number (48762054138).

Almost surely, 2^{2135264625312} is an apocalyptic number.

It is an amenable number.

2135264625312 is an abundant number, since it is smaller than the sum of its proper divisors (4886471170560).

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

2135264625312 is a wasteful number, since it uses less digits than its factorization.

2135264625312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34917371 (or 34917356 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 2135264625312 in words is "two trillion, one hundred thirty-five billion, two hundred sixty-four million, six hundred twenty-five thousand, three hundred twelve".