10205352401 has 8 divisors (see below), whose sum is σ = 10231588224. Its totient is φ = 10179136240.

The previous prime is 10205352361. The next prime is 10205352449. The reversal of 10205352401 is 10425350201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10205352401 - 2¹⁸ = 10205090257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205352461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062136 + ... + 2067078.

It is an arithmetic number, because the mean of its divisors is an integer number (1278948528).

Almost surely, 2^10205352401 is an apocalyptic number.

It is an amenable number.

10205352401 is a deficient number, since it is larger than the sum of its proper divisors (26235823).

10205352401 is an equidigital number, since it uses as much as digits as its factorization.

10205352401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831.

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 10205352401 in words is "ten billion, two hundred five million, three hundred fifty-two thousand, four hundred one".