407706513361 has 45 divisors (see below), whose sum is σ = 484514770011. Its totient is φ = 343053272016.

The previous prime is 407706513353. The next prime is 407706513371. The reversal of 407706513361 is 163315607704.

The square root of 407706513361 is 638519.

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., 119505033025 + 288201480336 = 345695^2 + 536844^2 .

It is not a de Polignac number, because 407706513361 - 2³ = 407706513353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407706513371) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2596856695 + ... + 2596856851.

Almost surely, 2^407706513361 is an apocalyptic number.

407706513361 is the 638519-th square number.

407706513361 is the 319260-th centered octagonal number.

It is an amenable number.

407706513361 is a deficient number, since it is larger than the sum of its proper divisors (76808256650).

407706513361 is an frugal number, since it uses more digits than its factorization.

407706513361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 407706513361 in words is "four hundred seven billion, seven hundred six million, five hundred thirteen thousand, three hundred sixty-one".