2006526761321 has 2 divisors, whose sum is σ = 2006526761322. Its totient is φ = 2006526761320.

The previous prime is 2006526761251. The next prime is 2006526761359. The reversal of 2006526761321 is 1231676256002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1783493475625 + 223033285696 = 1335475^2 + 472264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2006526761321 is a prime.

It is a super-2 number, since 2×2006526761321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2006526761221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003263380660 + 1003263380661.

It is an arithmetic number, because the mean of its divisors is an integer number (1003263380661).

Almost surely, 2^{2006526761321} is an apocalyptic number.

It is an amenable number.

2006526761321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006526761321 is an equidigital number, since it uses as much as digits as its factorization.

2006526761321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 2006526761321 in words is "two trillion, six billion, five hundred twenty-six million, seven hundred sixty-one thousand, three hundred twenty-one".