10521314555153 has 2 divisors, whose sum is σ = 10521314555154. Its totient is φ = 10521314555152.

The previous prime is 10521314555131. The next prime is 10521314555173. The reversal of 10521314555153 is 35155541312501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8073366428689 + 2447948126464 = 2841367^2 + 1564592^2 .

It is a cyclic number.

It is not a de Polignac number, because 10521314555153 - 2¹² = 10521314551057 is a prime.

It is a super-2 number, since 2×10521314555153² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10521314555153.

It is not a weakly prime, because it can be changed into another prime (10521314555173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5260657277576 + 5260657277577.

It is an arithmetic number, because the mean of its divisors is an integer number (5260657277577).

Almost surely, 2^{10521314555153} is an apocalyptic number.

It is an amenable number.

10521314555153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10521314555153 is an equidigital number, since it uses as much as digits as its factorization.

10521314555153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225000, while the sum is 41.

Adding to 10521314555153 its reverse (35155541312501), we get a palindrome (45676855867654).

The spelling of 10521314555153 in words is "ten trillion, five hundred twenty-one billion, three hundred fourteen million, five hundred fifty-five thousand, one hundred fifty-three".