2135005312 has 48 divisors (see below), whose sum is σ = 4675182750. Its totient is φ = 970449920.

The previous prime is 2135005303. The next prime is 2135005343.

2135005312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1451914816 + 683090496 = 38104^2 + 26136^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53437 + ... + 84412.

Almost surely, 2^2135005312 is an apocalyptic number.

2135005312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2135005312 is an abundant number, since it is smaller than the sum of its proper divisors (2540177438).

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

2135005312 is a wasteful number, since it uses less digits than its factorization.

2135005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137885 (or 137862 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2135005312 is about 46206.1176901934. The cubic root of 2135005312 is about 1287.6553994977.

It can be divided in two parts, 213500 and 5312, that added together give a palindrome (218812).

The spelling of 2135005312 in words is "two billion, one hundred thirty-five million, five thousand, three hundred twelve".