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1026693313 is a prime number
BaseRepresentation
bin111101001100100…
…001100011000001
32122112220102110021
4331030201203001
54100313141223
6245513333441
734304514652
oct7514414301
92575812407
101026693313
114875a5978
12247a07281
13134925049
149a4d9529
156020565d
hex3d3218c1

1026693313 has 2 divisors, whose sum is σ = 1026693314. Its totient is φ = 1026693312.

The previous prime is 1026693307. The next prime is 1026693361. The reversal of 1026693313 is 3133966201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 889053489 + 137639824 = 29817^2 + 11732^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026693313 - 25 = 1026693281 is a prime.

It is a super-4 number, since 4×10266933134 (a number of 37 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1026693383) 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, 513346656 + 513346657.

It is an arithmetic number, because the mean of its divisors is an integer number (513346657).

Almost surely, 21026693313 is an apocalyptic number.

It is an amenable number.

1026693313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026693313 is an equidigital number, since it uses as much as digits as its factorization.

1026693313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 1026693313 is about 32042.0553803903. The cubic root of 1026693313 is about 1008.8197542445.

The spelling of 1026693313 in words is "one billion, twenty-six million, six hundred ninety-three thousand, three hundred thirteen".