65405505025 has 27 divisors (see below), whose sum is σ = 94357017219. Its totient is φ = 44843351280.

The previous prime is 65405505013. The next prime is 65405505059. The reversal of 65405505025 is 52050550456.

The square root of 65405505025 is 255745.

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

65405505025 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 only one way, i.e., 23545981809 + 41859523216 = 153447^2 + 204596^2 .

It is not a de Polignac number, because 65405505025 - 2⁵ = 65405504993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8947422 + ... + 8954728.

Almost surely, 2^65405505025 is an apocalyptic number.

65405505025 is the 255745-th square number.

65405505025 is the 127873-rd centered octagonal number.

It is an amenable number.

65405505025 is a deficient number, since it is larger than the sum of its proper divisors (28951512194).

65405505025 is an frugal number, since it uses more digits than its factorization.

65405505025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 37.

The spelling of 65405505025 in words is "sixty-five billion, four hundred five million, five hundred five thousand, twenty-five".