3522134312253 has 96 divisors (see below), whose sum is σ = 5583551605632. Its totient is φ = 2130605568000.

The previous prime is 3522134312239. The next prime is 3522134312293.

3522134312253 is a `hidden beast` number, since 3 + 5 + 2 + 213 + 431 + 2 + 2 + 5 + 3 = 666.

3522134312253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3522134312253 - 2¹⁰ = 3522134311229 is a prime.

It is a super-2 number, since 2×3522134312253² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522134312293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346559350 + ... + 346569512.

It is an arithmetic number, because the mean of its divisors is an integer number (58161995892).

Almost surely, 2^{3522134312253} is an apocalyptic number.

It is an amenable number.

3522134312253 is a deficient number, since it is larger than the sum of its proper divisors (2061417293379).

3522134312253 is a wasteful number, since it uses less digits than its factorization.

3522134312253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10872 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 3522134312253 in words is "three trillion, five hundred twenty-two billion, one hundred thirty-four million, three hundred twelve thousand, two hundred fifty-three".