2011515321841 has 9 divisors (see below), whose sum is σ = 2016495834699. Its totient is φ = 2006547090504.

The previous prime is 2011515321791. The next prime is 2011515321847. The reversal of 2011515321841 is 1481235151102.

The square root of 2011515321841 is 1418279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1703716720225 + 307798601616 = 1305265^2 + 554796^2 .

It is not a de Polignac number, because 2011515321841 - 2¹³ = 2011515313649 is a prime.

It is a super-2 number, since 2×2011515321841² (a number of 25 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 = 2011515321797 and 2011515321806.

It is not an unprimeable number, because it can be changed into a prime (2011515321847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 662334775 + ... + 662337811.

Almost surely, 2^{2011515321841} is an apocalyptic number.

2011515321841 is the 1418279-th square number.

2011515321841 is the 709140-th centered octagonal number.

It is an amenable number.

2011515321841 is a deficient number, since it is larger than the sum of its proper divisors (4980512858).

2011515321841 is an frugal number, since it uses more digits than its factorization.

2011515321841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 2011515321841 in words is "two trillion, eleven billion, five hundred fifteen million, three hundred twenty-one thousand, eight hundred forty-one".