Search a number
-
+
1023626609 is a prime number
BaseRepresentation
bin111101000000110…
…100110101110001
32122100010121201122
4331000310311301
54044022022414
6245323512025
734236453065
oct7500646561
92570117648
101023626609
114858a0905
12246988615
131340c0225
1499d3baa5
155ecebb8e
hex3d034d71

1023626609 has 2 divisors, whose sum is σ = 1023626610. Its totient is φ = 1023626608.

The previous prime is 1023626581. The next prime is 1023626671. The reversal of 1023626609 is 9066263201.

1023626609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1015378225 + 8248384 = 31865^2 + 2872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023626609 is a prime.

It is a super-2 number, since 2×10236266092 = 2095622869305677762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1023626699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511813304 + 511813305.

It is an arithmetic number, because the mean of its divisors is an integer number (511813305).

Almost surely, 21023626609 is an apocalyptic number.

It is an amenable number.

1023626609 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023626609 is an equidigital number, since it uses as much as digits as its factorization.

1023626609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1023626609 is about 31994.1652336797. The cubic root of 1023626609 is about 1007.8143137771.

The spelling of 1023626609 in words is "one billion, twenty-three million, six hundred twenty-six thousand, six hundred nine".