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31577638061 is a prime number
BaseRepresentation
bin11101011010001011…
…001000010010101101
310000111200220012221102
4131122023020102231
51004132333404221
622301230212445
72165344331504
oct353213102255
9100450805842
1031577638061
1112434831942
126153354125
132c9319b648
141757b9b83b
15c4c3ac30b
hex75a2c84ad

31577638061 has 2 divisors, whose sum is σ = 31577638062. Its totient is φ = 31577638060.

The previous prime is 31577638007. The next prime is 31577638187. The reversal of 31577638061 is 16083677513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20081724100 + 11495913961 = 141710^2 + 107219^2 .

It is a cyclic number.

It is not a de Polignac number, because 31577638061 - 26 = 31577637997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31577637997 and 31577638015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31577638861) 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, 15788819030 + 15788819031.

It is an arithmetic number, because the mean of its divisors is an integer number (15788819031).

Almost surely, 231577638061 is an apocalyptic number.

It is an amenable number.

31577638061 is a deficient number, since it is larger than the sum of its proper divisors (1).

31577638061 is an equidigital number, since it uses as much as digits as its factorization.

31577638061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 31577638061 in words is "thirty-one billion, five hundred seventy-seven million, six hundred thirty-eight thousand, sixty-one".