10355312508533 has 2 divisors, whose sum is σ = 10355312508534. Its totient is φ = 10355312508532.

The previous prime is 10355312508503. The next prime is 10355312508581. The reversal of 10355312508533 is 33580521355301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10271813471089 + 83499037444 = 3204967^2 + 288962^2 .

It is an emirp because it is prime and its reverse (33580521355301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10355312508533 - 2⁶ = 10355312508469 is a prime.

It is a super-3 number, since 3×10355312508533³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10355312508503) 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, 5177656254266 + 5177656254267.

It is an arithmetic number, because the mean of its divisors is an integer number (5177656254267).

Almost surely, 2^{10355312508533} is an apocalyptic number.

It is an amenable number.

10355312508533 is a deficient number, since it is larger than the sum of its proper divisors (1).

10355312508533 is an equidigital number, since it uses as much as digits as its factorization.

10355312508533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 10355312508533 in words is "ten trillion, three hundred fifty-five billion, three hundred twelve million, five hundred eight thousand, five hundred thirty-three".