Search a number
-
+
815407133 is a prime number
BaseRepresentation
bin110000100110100…
…010000000011101
32002211022222022012
4300212202000131
53132221012013
6212525001005
726130563162
oct6046420035
92084288265
10815407133
113893044a2
121a90b3165
13ccc18938
147a41a069
154b8bc1a8
hex309a201d

815407133 has 2 divisors, whose sum is σ = 815407134. Its totient is φ = 815407132.

The previous prime is 815407079. The next prime is 815407163. The reversal of 815407133 is 331704518.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802135684 + 13271449 = 28322^2 + 3643^2 .

It is a cyclic number.

It is not a de Polignac number, because 815407133 - 28 = 815406877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 815407133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (815407163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407703566 + 407703567.

It is an arithmetic number, because the mean of its divisors is an integer number (407703567).

Almost surely, 2815407133 is an apocalyptic number.

It is an amenable number.

815407133 is a deficient number, since it is larger than the sum of its proper divisors (1).

815407133 is an equidigital number, since it uses as much as digits as its factorization.

815407133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 815407133 is about 28555.3345804247. The cubic root of 815407133 is about 934.2393779705.

The spelling of 815407133 in words is "eight hundred fifteen million, four hundred seven thousand, one hundred thirty-three".