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611552354401 is a prime number
BaseRepresentation
bin10001110011000110101…
…11000110000001100001
32011110112010122110112001
420321203113012001201
540004424400320101
61144535425204001
762116560146362
oct10714327060141
92143463573461
10611552354401
112163a33a742a
129a633790601
134589113ab81
1421856657b69
1510d94167901
hex8e635c6061

611552354401 has 2 divisors, whose sum is σ = 611552354402. Its totient is φ = 611552354400.

The previous prime is 611552354383. The next prime is 611552354417. The reversal of 611552354401 is 104453255116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 608743248400 + 2809106001 = 780220^2 + 53001^2 .

It is a cyclic number.

It is not a de Polignac number, because 611552354401 - 221 = 611550257249 is a prime.

It is not a weakly prime, because it can be changed into another prime (611552354461) 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, 305776177200 + 305776177201.

It is an arithmetic number, because the mean of its divisors is an integer number (305776177201).

Almost surely, 2611552354401 is an apocalyptic number.

It is an amenable number.

611552354401 is a deficient number, since it is larger than the sum of its proper divisors (1).

611552354401 is an equidigital number, since it uses as much as digits as its factorization.

611552354401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 611552354401 in words is "six hundred eleven billion, five hundred fifty-two million, three hundred fifty-four thousand, four hundred one".