3531625006573 has 2 divisors, whose sum is σ = 3531625006574. Its totient is φ = 3531625006572.

The previous prime is 3531625006487. The next prime is 3531625006597. The reversal of 3531625006573 is 3756005261353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2864498705289 + 667126301284 = 1692483^2 + 816778^2 .

It is an emirp because it is prime and its reverse (3756005261353) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3531625006573 - 2¹⁷ = 3531624875501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3531625006673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1765812503286 + 1765812503287.

It is an arithmetic number, because the mean of its divisors is an integer number (1765812503287).

Almost surely, 2^{3531625006573} is an apocalyptic number.

It is an amenable number.

3531625006573 is a deficient number, since it is larger than the sum of its proper divisors (1).

3531625006573 is an equidigital number, since it uses as much as digits as its factorization.

3531625006573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701000, while the sum is 46.

The spelling of 3531625006573 in words is "three trillion, five hundred thirty-one billion, six hundred twenty-five million, six thousand, five hundred seventy-three".