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125201277217 is a prime number
BaseRepresentation
bin111010010011010010…
…0111110000100100001
3102222011111021212111101
41310212210332010201
54022403011332332
6133303333514401
712021414203632
oct1644644760441
9388144255441
10125201277217
1149108947735
12203217a2a01
13ba639596b3
1460ba03d889
1533cb919ae7
hex1d2693e121

125201277217 has 2 divisors, whose sum is σ = 125201277218. Its totient is φ = 125201277216.

The previous prime is 125201277203. The next prime is 125201277259. The reversal of 125201277217 is 712772102521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96052885776 + 29148391441 = 309924^2 + 170729^2 .

It is an emirp because it is prime and its reverse (712772102521) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125201277217 is a prime.

It is not a weakly prime, because it can be changed into another prime (125201277277) 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, 62600638608 + 62600638609.

It is an arithmetic number, because the mean of its divisors is an integer number (62600638609).

Almost surely, 2125201277217 is an apocalyptic number.

It is an amenable number.

125201277217 is a deficient number, since it is larger than the sum of its proper divisors (1).

125201277217 is an equidigital number, since it uses as much as digits as its factorization.

125201277217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 37.

Adding to 125201277217 its reverse (712772102521), we get a palindrome (837973379738).

The spelling of 125201277217 in words is "one hundred twenty-five billion, two hundred one million, two hundred seventy-seven thousand, two hundred seventeen".