10873268825121 has 6 divisors (see below), whose sum is σ = 15705832747410. Its totient is φ = 7248845883408.

The previous prime is 10873268825119. The next prime is 10873268825141. The reversal of 10873268825121 is 12152886237801.

It is a happy number.

10873268825121 is a `hidden beast` number, since 10 + 8 + 7 + 32 + 6 + 8 + 82 + 512 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9742638542400 + 1130630282721 = 3121320^2 + 1063311^2 .

It is not a de Polignac number, because 10873268825121 - 2¹ = 10873268825119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10873268825141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 604070490276 + ... + 604070490293.

It is an arithmetic number, because the mean of its divisors is an integer number (2617638791235).

Almost surely, 2^{10873268825121} is an apocalyptic number.

It is an amenable number.

10873268825121 is a deficient number, since it is larger than the sum of its proper divisors (4832563922289).

10873268825121 is a wasteful number, since it uses less digits than its factorization.

10873268825121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208140980575 (or 1208140980572 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10873268825121 in words is "ten trillion, eight hundred seventy-three billion, two hundred sixty-eight million, eight hundred twenty-five thousand, one hundred twenty-one".