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2666752593553 is a prime number
BaseRepresentation
bin100110110011100110110…
…101110100111010010001
3100102221100120111000011001
4212303212311310322101
5322143002130443203
65401031135022001
7363444421016326
oct46634665647221
910387316430131
102666752593553
11938a66353974
12370a0206a901
1316462090c939
1493100340b4d
154957d2e691d
hex26ce6d74e91

2666752593553 has 2 divisors, whose sum is σ = 2666752593554. Its totient is φ = 2666752593552.

The previous prime is 2666752593499. The next prime is 2666752593599. The reversal of 2666752593553 is 3553952576662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170928187649 + 495824405904 = 1473407^2 + 704148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2666752593553 is a prime.

It is a super-2 number, since 2×26667525935532 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2666752593053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1333376296776 + 1333376296777.

It is an arithmetic number, because the mean of its divisors is an integer number (1333376296777).

Almost surely, 22666752593553 is an apocalyptic number.

It is an amenable number.

2666752593553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2666752593553 is an equidigital number, since it uses as much as digits as its factorization.

2666752593553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180000, while the sum is 64.

The spelling of 2666752593553 in words is "two trillion, six hundred sixty-six billion, seven hundred fifty-two million, five hundred ninety-three thousand, five hundred fifty-three".