10261564401 has 16 divisors (see below), whose sum is σ = 14930278848. Its totient is φ = 6217310400.

The previous prime is 10261564399. The next prime is 10261564409. The reversal of 10261564401 is 10446516201.

10261564401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10261564401 - 2¹ = 10261564399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10261564409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73671 + ... + 161091.

It is an arithmetic number, because the mean of its divisors is an integer number (933142428).

Almost surely, 2^10261564401 is an apocalyptic number.

10261564401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10261564401 is a deficient number, since it is larger than the sum of its proper divisors (4668714447).

10261564401 is a wasteful number, since it uses less digits than its factorization.

10261564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90992.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10261564401 in words is "ten billion, two hundred sixty-one million, five hundred sixty-four thousand, four hundred one".