Search a number
-
+
1657170001 is a prime number
BaseRepresentation
bin110001011000110…
…0110100001010001
311021111020221212201
41202301212201101
511343213420001
6432234523201
756031466264
oct14261464121
94244227781
101657170001
1178047a393
123a2b96501
13205431886
1411a136cdb
159a743501
hex62c66851

1657170001 has 2 divisors, whose sum is σ = 1657170002. Its totient is φ = 1657170000.

The previous prime is 1657169959. The next prime is 1657170017. The reversal of 1657170001 is 1000717561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1632160000 + 25010001 = 40400^2 + 5001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1657170001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1657170071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 828585000 + 828585001.

It is an arithmetic number, because the mean of its divisors is an integer number (828585001).

Almost surely, 21657170001 is an apocalyptic number.

It is an amenable number.

1657170001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1657170001 is an equidigital number, since it uses as much as digits as its factorization.

1657170001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 1657170001 is about 40708.3529634890. The cubic root of 1657170001 is about 1183.3749023463.

Adding to 1657170001 its reverse (1000717561), we get a palindrome (2657887562).

The spelling of 1657170001 in words is "one billion, six hundred fifty-seven million, one hundred seventy thousand, one".