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1052906593 is a prime number
BaseRepresentation
bin111110110000100…
…001010001100001
32201101020012022111
4332300201101201
54124021002333
6252251235321
735043362344
oct7660412141
92641205274
101052906593
114a037a342
12254748b41
1313a1a256b
149dba045b
15626824cd
hex3ec21461

1052906593 has 2 divisors, whose sum is σ = 1052906594. Its totient is φ = 1052906592.

The previous prime is 1052906551. The next prime is 1052906623. The reversal of 1052906593 is 3956092501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964226704 + 88679889 = 31052^2 + 9417^2 .

It is a cyclic number.

It is not a de Polignac number, because 1052906593 - 225 = 1019352161 is a prime.

It is a super-2 number, since 2×10529065932 = 2217224587165735298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1052906293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526453296 + 526453297.

It is an arithmetic number, because the mean of its divisors is an integer number (526453297).

Almost surely, 21052906593 is an apocalyptic number.

It is an amenable number.

1052906593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052906593 is an equidigital number, since it uses as much as digits as its factorization.

1052906593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 1052906593 is about 32448.5222005564. The cubic root of 1052906593 is about 1017.3333500691. Note that the first 4 decimals are identical.

The spelling of 1052906593 in words is "one billion, fifty-two million, nine hundred six thousand, five hundred ninety-three".