Search a number
-
+
813629413 is a prime number
BaseRepresentation
bin110000011111101…
…111111111100101
32002200222122201201
4300133233333211
53131242120123
6212422522501
726106510262
oct6037577745
92080878651
10813629413
113882aa903
121a8596431
13cc74572c
147a0b6269
154b66a5ad
hex307effe5

813629413 has 2 divisors, whose sum is σ = 813629414. Its totient is φ = 813629412.

The previous prime is 813629389. The next prime is 813629417. The reversal of 813629413 is 314926318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795634849 + 17994564 = 28207^2 + 4242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813629413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813629417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406814706 + 406814707.

It is an arithmetic number, because the mean of its divisors is an integer number (406814707).

Almost surely, 2813629413 is an apocalyptic number.

It is an amenable number.

813629413 is a deficient number, since it is larger than the sum of its proper divisors (1).

813629413 is an equidigital number, since it uses as much as digits as its factorization.

813629413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 813629413 is about 28524.1899622058. The cubic root of 813629413 is about 933.5599527798.

The spelling of 813629413 in words is "eight hundred thirteen million, six hundred twenty-nine thousand, four hundred thirteen".