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52951000409 is a prime number
BaseRepresentation
bin110001010100001000…
…000010010101011001
312001200020122112011022
4301110020002111121
51331420424003114
640154135412225
73553114035326
oct612410022531
9161606575138
1052951000409
112050250636a
12a319224075
134cbb259308
1427c461db4d
15159d9aa48e
hexc54202559

52951000409 has 2 divisors, whose sum is σ = 52951000410. Its totient is φ = 52951000408.

The previous prime is 52951000373. The next prime is 52951000439. The reversal of 52951000409 is 90400015925.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49939734784 + 3011265625 = 223472^2 + 54875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52951000409 is a prime.

It is not a weakly prime, because it can be changed into another prime (52951000439) 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, 26475500204 + 26475500205.

It is an arithmetic number, because the mean of its divisors is an integer number (26475500205).

Almost surely, 252951000409 is an apocalyptic number.

It is an amenable number.

52951000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

52951000409 is an equidigital number, since it uses as much as digits as its factorization.

52951000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 52951000409 in words is "fifty-two billion, nine hundred fifty-one million, four hundred nine", and thus it is an aban number.