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537105377 is a prime number
BaseRepresentation
bin100000000000111…
…001001111100001
31101102122210001202
4200000321033201
52044444333002
6125144010545
716211214614
oct4000711741
91342583052
10537105377
11256200246
1212ba60a55
1387377243
145149417b
1532247502
hex200393e1

537105377 has 2 divisors, whose sum is σ = 537105378. Its totient is φ = 537105376.

The previous prime is 537105347. The next prime is 537105383. The reversal of 537105377 is 773501735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 469848976 + 67256401 = 21676^2 + 8201^2 .

It is a cyclic number.

It is not a de Polignac number, because 537105377 - 224 = 520328161 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 537105377.

It is not a weakly prime, because it can be changed into another prime (537105347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268552688 + 268552689.

It is an arithmetic number, because the mean of its divisors is an integer number (268552689).

Almost surely, 2537105377 is an apocalyptic number.

It is an amenable number.

537105377 is a deficient number, since it is larger than the sum of its proper divisors (1).

537105377 is an equidigital number, since it uses as much as digits as its factorization.

537105377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77175, while the sum is 38.

The square root of 537105377 is about 23175.5340175798. The cubic root of 537105377 is about 812.8676373987.

The spelling of 537105377 in words is "five hundred thirty-seven million, one hundred five thousand, three hundred seventy-seven".