472505121 has 18 divisors (see below), whose sum is σ = 750195810. Its totient is φ = 286366080.

The previous prime is 472505041. The next prime is 472505161. The reversal of 472505121 is 121505274.

It can be written as a sum of positive squares in only one way, i.e., 425390625 + 47114496 = 20625^2 + 6864^2 .

It is not a de Polignac number, because 472505121 - 2¹⁸ = 472242977 is a prime.

It is a super-2 number, since 2×472505121² = 446522178742449282, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (472505161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 215856 + ... + 218033.

It is an arithmetic number, because the mean of its divisors is an integer number (41677545).

Almost surely, 2^472505121 is an apocalyptic number.

It is an amenable number.

472505121 is a deficient number, since it is larger than the sum of its proper divisors (277690689).

472505121 is a wasteful number, since it uses less digits than its factorization.

472505121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433917 (or 433903 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 472505121 is about 21737.1829131560. The cubic root of 472505121 is about 778.8769291048.

The spelling of 472505121 in words is "four hundred seventy-two million, five hundred five thousand, one hundred twenty-one".