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1006097381 is a prime number
BaseRepresentation
bin111011111101111…
…101001111100101
32121010011001010222
4323331331033211
54030030104011
6243500054125
733634454342
oct7375751745
92533131128
101006097381
11476a08943
12240b34345
131305935c3
14978977c9
155d4d7ddb
hex3bf7d3e5

1006097381 has 2 divisors, whose sum is σ = 1006097382. Its totient is φ = 1006097380.

The previous prime is 1006097263. The next prime is 1006097399. The reversal of 1006097381 is 1837906001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985394881 + 20702500 = 31391^2 + 4550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006097381 is a prime.

It is a super-2 number, since 2×10060973812 = 2024463880110118322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006097681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503048690 + 503048691.

It is an arithmetic number, because the mean of its divisors is an integer number (503048691).

Almost surely, 21006097381 is an apocalyptic number.

It is an amenable number.

1006097381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006097381 is an equidigital number, since it uses as much as digits as its factorization.

1006097381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1006097381 is about 31719.0381474596. The cubic root of 1006097381 is about 1002.0283433748.

The spelling of 1006097381 in words is "one billion, six million, ninety-seven thousand, three hundred eighty-one".