3332105306253 has 32 divisors (see below), whose sum is σ = 5336705225600. Its totient is φ = 2047609507968.

The previous prime is 3332105306183. The next prime is 3332105306293. The reversal of 3332105306253 is 3526035012333.

3332105306253 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 10 + 530 + 62 + 53 = 666.

It is not a de Polignac number, because 3332105306253 - 2¹³ = 3332105298061 is a prime.

It is a super-2 number, since 2×3332105306253² (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 (3332105306293) 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 31 ways as a sum of consecutive naturals, for example, 87755776 + ... + 87793737.

It is an arithmetic number, because the mean of its divisors is an integer number (166772038300).

Almost surely, 2^{3332105306253} is an apocalyptic number.

It is an amenable number.

3332105306253 is a deficient number, since it is larger than the sum of its proper divisors (2004599919347).

3332105306253 is a wasteful number, since it uses less digits than its factorization.

3332105306253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175549578 (or 175549572 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 3332105306253 in words is "three trillion, three hundred thirty-two billion, one hundred five million, three hundred six thousand, two hundred fifty-three".