11512210312541 has 16 divisors (see below), whose sum is σ = 11648737908720. Its totient is φ = 11375844986880.

The previous prime is 11512210312529. The next prime is 11512210312553. The reversal of 11512210312541 is 14521301221511.

It is an interprime number because it is at equal distance from previous prime (11512210312529) and next prime (11512210312553).

It can be written as a sum of positive squares in 8 ways, for example, as 267113248900 + 11245097063641 = 516830^2 + 3353371^2 .

It is a cyclic number.

It is not a de Polignac number, because 11512210312541 - 2¹⁰ = 11512210311517 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 (11512210312501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552134665 + ... + 1552142081.

It is an arithmetic number, because the mean of its divisors is an integer number (728046119295).

Almost surely, 2^{11512210312541} is an apocalyptic number.

It is an amenable number.

11512210312541 is a deficient number, since it is larger than the sum of its proper divisors (136527596179).

11512210312541 is an equidigital number, since it uses as much as digits as its factorization.

11512210312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15904.

The product of its (nonzero) digits is 2400, while the sum is 29.

The spelling of 11512210312541 in words is "eleven trillion, five hundred twelve billion, two hundred ten million, three hundred twelve thousand, five hundred forty-one".