12553211235521 has 24 divisors (see below), whose sum is σ = 14280068275200. Its totient is φ = 11013774648800.

The previous prime is 12553211235451. The next prime is 12553211235533.

12553211235521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12553211235521 - 2²⁶ = 12553144126657 is a prime.

It is a super-2 number, since 2×12553211235521² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12553211235571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7442816 + ... + 8972286.

It is an arithmetic number, because the mean of its divisors is an integer number (595002844800).

Almost surely, 2^{12553211235521} is an apocalyptic number.

12553211235521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12553211235521 is a deficient number, since it is larger than the sum of its proper divisors (1726857039679).

12553211235521 is a wasteful number, since it uses less digits than its factorization.

12553211235521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531861 (or 1531850 counting only the distinct ones).

The product of its digits is 90000, while the sum is 38.

The spelling of 12553211235521 in words is "twelve trillion, five hundred fifty-three billion, two hundred eleven million, two hundred thirty-five thousand, five hundred twenty-one".