11002532540041 has 24 divisors (see below), whose sum is σ = 13558751471880. Its totient is φ = 8871399516672.

The previous prime is 11002532540039. The next prime is 11002532540047. The reversal of 11002532540041 is 14004523520011.

It can be written as a sum of positive squares in 4 ways, for example, as 872348528016 + 10130184012025 = 933996^2 + 3182795^2 .

It is not a de Polignac number, because 11002532540041 - 2¹ = 11002532540039 is a prime.

It is a super-2 number, since 2×11002532540041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11002532539991 and 11002532540009.

It is not an unprimeable number, because it can be changed into a prime (11002532540047) 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, 1806346 + ... + 5026723.

It is an arithmetic number, because the mean of its divisors is an integer number (564947977995).

Almost surely, 2^{11002532540041} is an apocalyptic number.

It is an amenable number.

11002532540041 is a deficient number, since it is larger than the sum of its proper divisors (2556218931839).

11002532540041 is a wasteful number, since it uses less digits than its factorization.

11002532540041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835033 (or 6835026 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 11002532540041 in words is "eleven trillion, two billion, five hundred thirty-two million, five hundred forty thousand, forty-one".