Search a number
-
+
825192046673 is a prime number
BaseRepresentation
bin11000000001000010100…
…01110110000001010001
32220212222001102022022022
430000201101312001101
5102004443130443143
61431031001221225
7113422012444151
oct14004121660121
92825861368268
10825192046673
11298a64441285
12113b17191815
135ca7a214077
142bd22020761
15166e9c9c268
hexc021476051

825192046673 has 2 divisors, whose sum is σ = 825192046674. Its totient is φ = 825192046672.

The previous prime is 825192046663. The next prime is 825192046709. The reversal of 825192046673 is 376640291528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800482721809 + 24709324864 = 894697^2 + 157192^2 .

It is a cyclic number.

It is not a de Polignac number, because 825192046673 - 228 = 824923611217 is a prime.

It is a super-2 number, since 2×8251920466732 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825192046663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412596023336 + 412596023337.

It is an arithmetic number, because the mean of its divisors is an integer number (412596023337).

It is a 1-persistent number, because it is pandigital, but 2⋅825192046673 = 1650384093346 is not.

Almost surely, 2825192046673 is an apocalyptic number.

It is an amenable number.

825192046673 is a deficient number, since it is larger than the sum of its proper divisors (1).

825192046673 is an equidigital number, since it uses as much as digits as its factorization.

825192046673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 825192046673 in words is "eight hundred twenty-five billion, one hundred ninety-two million, forty-six thousand, six hundred seventy-three".