5205766801 has 9 divisors (see below), whose sum is σ = 5443680571. Its totient is φ = 4977841792.

The previous prime is 5205766781. The next prime is 5205766807. The reversal of 5205766801 is 1086675025.

The square root of 5205766801 is 72151.

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

It can be written as a sum of positive squares in only one way, i.e., 5199131025 + 6635776 = 72105^2 + 2576^2 .

It is not a de Polignac number, because 5205766801 - 2¹⁹ = 5205242513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5205766807) 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, 1657905 + ... + 1661041.

Almost surely, 2^5205766801 is an apocalyptic number.

5205766801 is the 72151-st square number.

5205766801 is the 36076-th centered octagonal number.

It is an amenable number.

5205766801 is a deficient number, since it is larger than the sum of its proper divisors (237913770).

5205766801 is an frugal number, since it uses more digits than its factorization.

5205766801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The cubic root of 5205766801 is about 1733.1184136346.

The spelling of 5205766801 in words is "five billion, two hundred five million, seven hundred sixty-six thousand, eight hundred one".