Search a number
-
+
5677608901 is a prime number
BaseRepresentation
bin1010100100110100…
…10110111111000101
3112122200102102020011
411102122112333011
543111431441101
62335214510221
7260460610426
oct52232267705
915580372204
105677608901
112453953668
121125505371
136c635b3c3
143bc08b64d
152336a4751
hex152696fc5

5677608901 has 2 divisors, whose sum is σ = 5677608902. Its totient is φ = 5677608900.

The previous prime is 5677608869. The next prime is 5677608917. The reversal of 5677608901 is 1098067765.

5677608901 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3596880676 + 2080728225 = 59974^2 + 45615^2 .

It is a cyclic number.

It is not a de Polignac number, because 5677608901 - 25 = 5677608869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5677608961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2838804450 + 2838804451.

It is an arithmetic number, because the mean of its divisors is an integer number (2838804451).

Almost surely, 25677608901 is an apocalyptic number.

It is an amenable number.

5677608901 is a deficient number, since it is larger than the sum of its proper divisors (1).

5677608901 is an equidigital number, since it uses as much as digits as its factorization.

5677608901 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 49.

The square root of 5677608901 is about 75349.9097610608. The cubic root of 5677608901 is about 1783.9738785622.

The spelling of 5677608901 in words is "five billion, six hundred seventy-seven million, six hundred eight thousand, nine hundred one".