10251065564461 has 8 divisors (see below), whose sum is σ = 10854205987320. Its totient is φ = 9647940315648.

The previous prime is 10251065564309. The next prime is 10251065564483. The reversal of 10251065564461 is 16446556015201.

10251065564461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1250525556361 + 9000540008100 = 1118269^2 + 3000090^2 .

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 10251065564461 - 2³¹ = 10248918080813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10251065564161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2387746 + ... + 5118931.

It is an arithmetic number, because the mean of its divisors is an integer number (1356775748415).

Almost surely, 2^{10251065564461} is an apocalyptic number.

It is an amenable number.

10251065564461 is a deficient number, since it is larger than the sum of its proper divisors (603140422859).

10251065564461 is an equidigital number, since it uses as much as digits as its factorization.

10251065564461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587023.

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 10251065564461 in words is "ten trillion, two hundred fifty-one billion, sixty-five million, five hundred sixty-four thousand, four hundred sixty-one".