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61005400009 is a prime number
BaseRepresentation
bin111000110100001101…
…001000011111001001
312211110120102102021121
4320310031020133021
51444414340300014
644005301235241
74256525226031
oct706415103711
9184416372247
1061005400009
1123965a59a64
12b9a6702b21
1359a2b38238
142d4a2088c1
1518c0b4e124
hexe343487c9

61005400009 has 2 divisors, whose sum is σ = 61005400010. Its totient is φ = 61005400008.

The previous prime is 61005399971. The next prime is 61005400091. The reversal of 61005400009 is 90000450016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50724048400 + 10281351609 = 225220^2 + 101397^2 .

It is a cyclic number.

It is not a de Polignac number, because 61005400009 - 213 = 61005391817 is a prime.

It is not a weakly prime, because it can be changed into another prime (61005403009) 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, 30502700004 + 30502700005.

It is an arithmetic number, because the mean of its divisors is an integer number (30502700005).

Almost surely, 261005400009 is an apocalyptic number.

It is an amenable number.

61005400009 is a deficient number, since it is larger than the sum of its proper divisors (1).

61005400009 is an equidigital number, since it uses as much as digits as its factorization.

61005400009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 61005400009 in words is "sixty-one billion, five million, four hundred thousand, nine".