3521664661253 has 64 divisors (see below), whose sum is σ = 3771904320000. Its totient is φ = 3283088707584.

The previous prime is 3521664661237. The next prime is 3521664661303.

3521664661253 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3521664661253 - 2⁴ = 3521664661237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3521664661213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9809650688 + ... + 9809651046.

It is an arithmetic number, because the mean of its divisors is an integer number (58936005000).

Almost surely, 2^{3521664661253} is an apocalyptic number.

It is an amenable number.

3521664661253 is a deficient number, since it is larger than the sum of its proper divisors (250239658747).

3521664661253 is a wasteful number, since it uses less digits than its factorization.

3521664661253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974.

The product of its digits is 4665600, while the sum is 50.

The spelling of 3521664661253 in words is "three trillion, five hundred twenty-one billion, six hundred sixty-four million, six hundred sixty-one thousand, two hundred fifty-three".