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181381210553 is a prime number
BaseRepresentation
bin1010100011101100101…
…0011010000110111001
3122100011202202011221002
42220323022122012321
510432432042214203
6215154140454345
716050536565014
oct2507312320671
9570152664832
10181381210553
116aa17a68104
122b1a024a3b5
1314147b448ba
148ac941a37b
154ab8adad88
hex2a3b29a1b9

181381210553 has 2 divisors, whose sum is σ = 181381210554. Its totient is φ = 181381210552.

The previous prime is 181381210537. The next prime is 181381210567. The reversal of 181381210553 is 355012183181.

181381210553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141972211264 + 39408999289 = 376792^2 + 198517^2 .

It is a cyclic number.

It is not a de Polignac number, because 181381210553 - 24 = 181381210537 is a prime.

It is not a weakly prime, because it can be changed into another prime (181381212553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90690605276 + 90690605277.

It is an arithmetic number, because the mean of its divisors is an integer number (90690605277).

Almost surely, 2181381210553 is an apocalyptic number.

It is an amenable number.

181381210553 is a deficient number, since it is larger than the sum of its proper divisors (1).

181381210553 is an equidigital number, since it uses as much as digits as its factorization.

181381210553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 181381210553 in words is "one hundred eighty-one billion, three hundred eighty-one million, two hundred ten thousand, five hundred fifty-three".