10521544515413 has 2 divisors, whose sum is σ = 10521544515414. Its totient is φ = 10521544515412.

The previous prime is 10521544515367. The next prime is 10521544515421. The reversal of 10521544515413 is 31451544512501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10363396723729 + 158147791684 = 3219223^2 + 397678^2 .

It is a cyclic number.

It is not a de Polignac number, because 10521544515413 - 2¹⁰ = 10521544514389 is a prime.

It is a super-3 number, since 3×10521544515413³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10521544515613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5260772257706 + 5260772257707.

It is an arithmetic number, because the mean of its divisors is an integer number (5260772257707).

Almost surely, 2^{10521544515413} is an apocalyptic number.

It is an amenable number.

10521544515413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10521544515413 is an equidigital number, since it uses as much as digits as its factorization.

10521544515413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 10521544515413 in words is "ten trillion, five hundred twenty-one billion, five hundred forty-four million, five hundred fifteen thousand, four hundred thirteen".