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1968000061 is a prime number
BaseRepresentation
bin111010101001101…
…0100110000111101
312002011010202120011
41311103110300331
513012302000221
6523141023221
766524503336
oct16523246075
95064122504
101968000061
1191a980635
1246b0b4b11
13254951ca1
1414952928d
15b7b911e1
hex754d4c3d

1968000061 has 2 divisors, whose sum is σ = 1968000062. Its totient is φ = 1968000060.

The previous prime is 1968000043. The next prime is 1968000071. The reversal of 1968000061 is 1600008691.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1420159225 + 547840836 = 37685^2 + 23406^2 .

It is an emirp because it is prime and its reverse (1600008691) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1968000061 - 215 = 1967967293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1967999987 and 1968000032.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1968000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 984000030 + 984000031.

It is an arithmetic number, because the mean of its divisors is an integer number (984000031).

Almost surely, 21968000061 is an apocalyptic number.

It is an amenable number.

1968000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1968000061 is an equidigital number, since it uses as much as digits as its factorization.

1968000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1968000061 is about 44362.1467131608. The cubic root of 1968000061 is about 1253.1653241593.

The spelling of 1968000061 in words is "one billion, nine hundred sixty-eight million, sixty-one", and thus it is an aban number.