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1053406349 is a prime number
BaseRepresentation
bin111110110010011…
…011010010001101
32201102011120211222
4332302123102031
54124133000344
6252310053125
735050543352
oct7662332215
92642146758
101053406349
114a0690866
1225494a1a5
1313a318b88
149dc90629
15627305ee
hex3ec9b48d

1053406349 has 2 divisors, whose sum is σ = 1053406350. Its totient is φ = 1053406348.

The previous prime is 1053406331. The next prime is 1053406363. The reversal of 1053406349 is 9436043501.

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., 1010922025 + 42484324 = 31795^2 + 6518^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053406349 - 212 = 1053402253 is a prime.

It is a super-2 number, since 2×10534063492 = 2219329872227019602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1053402349) 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, 526703174 + 526703175.

It is an arithmetic number, because the mean of its divisors is an integer number (526703175).

Almost surely, 21053406349 is an apocalyptic number.

It is an amenable number.

1053406349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053406349 is an equidigital number, since it uses as much as digits as its factorization.

1053406349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 1053406349 is about 32456.2220383088. Note that the first 3 decimals coincide. The cubic root of 1053406349 is about 1017.4942817323.

The spelling of 1053406349 in words is "one billion, fifty-three million, four hundred six thousand, three hundred forty-nine".