103552585409531 has 2 divisors, whose sum is σ = 103552585409532. Its totient is φ = 103552585409530.

The previous prime is 103552585409489. The next prime is 103552585409549. The reversal of 103552585409531 is 135904585255301.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (135904585255301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103552585409531 - 2²⁶ = 103552518300667 is a prime.

It is a super-3 number, since 3×103552585409531³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (103552585402531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51776292704765 + 51776292704766.

It is an arithmetic number, because the mean of its divisors is an integer number (51776292704766).

Almost surely, 2^{103552585409531} is an apocalyptic number.

103552585409531 is a deficient number, since it is larger than the sum of its proper divisors (1).

103552585409531 is an equidigital number, since it uses as much as digits as its factorization.

103552585409531 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200000, while the sum is 56.

The spelling of 103552585409531 in words is "one hundred three trillion, five hundred fifty-two billion, five hundred eighty-five million, four hundred nine thousand, five hundred thirty-one".