475508164041 has 45 divisors (see below), whose sum is σ = 754736289879. Its totient is φ = 298291864896.

The previous prime is 475508164009. The next prime is 475508164049. The reversal of 475508164041 is 140461805574.

The square root of 475508164041 is 689571.

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

475508164041 is a `hidden beast` number, since 4 + 7 + 550 + 8 + 16 + 40 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 370205318025 + 105302846016 = 608445^2 + 324504^2 .

It is not a de Polignac number, because 475508164041 - 2⁵ = 475508164009 is a prime.

It is a super-2 number, since 2×475508164041² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (475508164049) 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, 105502110 + ... + 105506616.

Almost surely, 2^475508164041 is an apocalyptic number.

475508164041 is the 689571-st square number.

475508164041 is the 344786-th centered octagonal number.

It is an amenable number.

475508164041 is a deficient number, since it is larger than the sum of its proper divisors (279228125838).

475508164041 is an frugal number, since it uses more digits than its factorization.

475508164041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 475508164041 in words is "four hundred seventy-five billion, five hundred eight million, one hundred sixty-four thousand, forty-one".