406131065577 has 12 divisors (see below), whose sum is σ = 621141629940. Its totient is φ = 254827335168.

The previous prime is 406131065533. The next prime is 406131065603. The reversal of 406131065577 is 775560131604.

406131065577 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 3 + 10 + 65 + 577 = 666.

406131065577 is digitally balanced in base 4, 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 2 ways, for example, as 315974397456 + 90156668121 = 562116^2 + 300261^2 .

It is not a de Polignac number, because 406131065577 - 2²² = 406126871273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406131065507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327225552 + ... + 1327225857.

It is an arithmetic number, because the mean of its divisors is an integer number (51761802495).

Almost surely, 2^406131065577 is an apocalyptic number.

It is an amenable number.

406131065577 is a deficient number, since it is larger than the sum of its proper divisors (215010564363).

406131065577 is a wasteful number, since it uses less digits than its factorization.

406131065577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654451432 (or 2654451429 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 406131065577 in words is "four hundred six billion, one hundred thirty-one million, sixty-five thousand, five hundred seventy-seven".