Search a number
-
+
2231560252577 is a prime number
BaseRepresentation
bin100000011110010011010…
…110110010110010100001
321220100001021022111000002
4200132103112302302201
5243030213411040302
64425055320505345
7320140100114165
oct40362326626241
97810037274002
102231560252577
11790443649957
123005a901b255
131325872757c6
147a0182c4ca5
153d0ac027c02
hex207935b2ca1

2231560252577 has 2 divisors, whose sum is σ = 2231560252578. Its totient is φ = 2231560252576.

The previous prime is 2231560252447. The next prime is 2231560252619. The reversal of 2231560252577 is 7752520651322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1583593211281 + 647967041296 = 1258409^2 + 804964^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231560252577 - 216 = 2231560187041 is a prime.

It is a super-3 number, since 3×22315602525773 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2231560252877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115780126288 + 1115780126289.

It is an arithmetic number, because the mean of its divisors is an integer number (1115780126289).

Almost surely, 22231560252577 is an apocalyptic number.

It is an amenable number.

2231560252577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231560252577 is an equidigital number, since it uses as much as digits as its factorization.

2231560252577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 2231560252577 in words is "two trillion, two hundred thirty-one billion, five hundred sixty million, two hundred fifty-two thousand, five hundred seventy-seven".