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554206632913313 is a prime number
BaseRepresentation
bin111111000000011000100100…
…1011111001010100110100001
32200200021122012010201012111222
41332000301021133022212201
51040120110141011211223
65242411002401344425
7224510052002364632
oct17600611137124641
92620248163635458
10554206632913313
11150650793162666
12521a8b60038115
131aa315cc44ac23
149abda5bd67889
1544112bde450c8
hex1f80c497ca9a1

554206632913313 has 2 divisors, whose sum is σ = 554206632913314. Its totient is φ = 554206632913312.

The previous prime is 554206632913279. The next prime is 554206632913333. The reversal of 554206632913313 is 313319236602455.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423621687813184 + 130584945100129 = 20582072^2 + 11427377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-554206632913313 is a prime.

It is a super-3 number, since 3×5542066329133133 (a number of 45 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 (554206632913333) 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, 277103316456656 + 277103316456657.

It is an arithmetic number, because the mean of its divisors is an integer number (277103316456657).

Almost surely, 2554206632913313 is an apocalyptic number.

It is an amenable number.

554206632913313 is a deficient number, since it is larger than the sum of its proper divisors (1).

554206632913313 is an equidigital number, since it uses as much as digits as its factorization.

554206632913313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10497600, while the sum is 53.

The spelling of 554206632913313 in words is "five hundred fifty-four trillion, two hundred six billion, six hundred thirty-two million, nine hundred thirteen thousand, three hundred thirteen".