470251691001 has 27 divisors (see below), whose sum is σ = 683603668111. Its totient is φ = 311505597744.

The previous prime is 470251690919. The next prime is 470251691011. The reversal of 470251691001 is 100196152074.

The square root of 470251691001 is 685749.

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

470251691001 is a `hidden beast` number, since 470 + 25 + 1 + 69 + 100 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308908082025 + 161343608976 = 555795^2 + 401676^2 .

It is not a de Polignac number, because 470251691001 - 2¹³ = 470251682809 is a prime.

It is a super-2 number, since 2×470251691001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (470251691011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 368246575 + ... + 368247851.

Almost surely, 2^470251691001 is an apocalyptic number.

470251691001 is the 685749-th square number.

470251691001 is the 342875-th centered octagonal number.

It is an amenable number.

470251691001 is a deficient number, since it is larger than the sum of its proper divisors (213351977110).

470251691001 is an frugal number, since it uses more digits than its factorization.

470251691001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 470251691001 by its sum of digits (36), we get a square (16929060876036 = 4114494²).

The spelling of 470251691001 in words is "four hundred seventy billion, two hundred fifty-one million, six hundred ninety-one thousand, one".