3652312561201 has 2 divisors, whose sum is σ = 3652312561202. Its totient is φ = 3652312561200.

The previous prime is 3652312561181. The next prime is 3652312561217. The reversal of 3652312561201 is 1021652132563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2338253848225 + 1314058712976 = 1529135^2 + 1146324^2 .

It is a cyclic number.

It is not a de Polignac number, because 3652312561201 - 2³⁵ = 3617952822833 is a prime.

It is not a weakly prime, because it can be changed into another prime (3652312561301) 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, 1826156280600 + 1826156280601.

It is an arithmetic number, because the mean of its divisors is an integer number (1826156280601).

Almost surely, 2^{3652312561201} is an apocalyptic number.

It is an amenable number.

3652312561201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3652312561201 is an equidigital number, since it uses as much as digits as its factorization.

3652312561201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 3652312561201 its reverse (1021652132563), we get a palindrome (4673964693764).

The spelling of 3652312561201 in words is "three trillion, six hundred fifty-two billion, three hundred twelve million, five hundred sixty-one thousand, two hundred one".