10807005334801 has 9 divisors (see below), whose sum is σ = 11702306491281. Its totient is φ = 9975657783312.

The previous prime is 10807005334789. The next prime is 10807005334831. The reversal of 10807005334801 is 10843350070801.

The square root of 10807005334801 is 3287401.

It is a perfect power (a square), and thus also a powerful number.

10807005334801 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 1455885973201 + 9351119361600 = 1206601^2 + 3057960^2 .

It is not a de Polignac number, because 10807005334801 - 2⁷ = 10807005334673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10807005334831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42609775 + ... + 42862651.

It is an arithmetic number, because the mean of its divisors is an integer number (1300256276809).

Almost surely, 2^{10807005334801} is an apocalyptic number.

10807005334801 is the 3287401-st square number.

10807005334801 is the 1643701-st centered octagonal number.

It is an amenable number.

10807005334801 is a deficient number, since it is larger than the sum of its proper divisors (895301156480).

10807005334801 is an frugal number, since it uses more digits than its factorization.

10807005334801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505780 (or 252890 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10807005334801 in words is "ten trillion, eight hundred seven billion, five million, three hundred thirty-four thousand, eight hundred one".