Search a number
-
+
1968577601 is a prime number
BaseRepresentation
bin111010101010110…
…0001110001000001
312002012020002210112
41311111201301001
513012423440401
6523201241105
766532430204
oct16525416101
95065202715
101968577601
11920235541
1246b333195
13254ac4b23
1414963993b
15b7c573bb
hex75561c41

1968577601 has 2 divisors, whose sum is σ = 1968577602. Its totient is φ = 1968577600.

The previous prime is 1968577591. The next prime is 1968577603. The reversal of 1968577601 is 1067758691.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1850290225 + 118287376 = 43015^2 + 10876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1968577601 is a prime.

Together with 1968577603, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1968577601.

It is not a weakly prime, because it can be changed into another prime (1968577603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 984288800 + 984288801.

It is an arithmetic number, because the mean of its divisors is an integer number (984288801).

Almost surely, 21968577601 is an apocalyptic number.

It is an amenable number.

1968577601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1968577601 is an equidigital number, since it uses as much as digits as its factorization.

1968577601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 50.

The square root of 1968577601 is about 44368.6556140706. The cubic root of 1968577601 is about 1253.2878990732.

The spelling of 1968577601 in words is "one billion, nine hundred sixty-eight million, five hundred seventy-seven thousand, six hundred one".