10205526401 has 12 divisors (see below), whose sum is σ = 11888106048. Its totient is φ = 8735531112.

The previous prime is 10205526391. The next prime is 10205526403. The reversal of 10205526401 is 10462550201.

It is not a de Polignac number, because 10205526401 - 2¹⁸ = 10205264257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205526403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107621 + ... + 178866.

It is an arithmetic number, because the mean of its divisors is an integer number (990675504).

Almost surely, 2^10205526401 is an apocalyptic number.

It is an amenable number.

10205526401 is a deficient number, since it is larger than the sum of its proper divisors (1682579647).

10205526401 is an equidigital number, since it uses as much as digits as its factorization.

10205526401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287228 (or 287221 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 10205526401 in words is "ten billion, two hundred five million, five hundred twenty-six thousand, four hundred one".