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1053338137 is a prime number
BaseRepresentation
bin111110110010001…
…010101000011001
32201102001010021121
4332302022220121
54124123310022
6252304405241
735050140445
oct7662125031
92642033247
101053338137
114a0644595
12254916821
1313a2c3b07
149dc73825
156271a2c7
hex3ec8aa19

1053338137 has 2 divisors, whose sum is σ = 1053338138. Its totient is φ = 1053338136.

The previous prime is 1053338023. The next prime is 1053338141. The reversal of 1053338137 is 7318333501.

It is a happy number.

1053338137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 969139161 + 84198976 = 31131^2 + 9176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053338137 is a prime.

It is a super-2 number, since 2×10533381372 = 2219042461717261538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1053338147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526669068 + 526669069.

It is an arithmetic number, because the mean of its divisors is an integer number (526669069).

Almost surely, 21053338137 is an apocalyptic number.

It is an amenable number.

1053338137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053338137 is an equidigital number, since it uses as much as digits as its factorization.

1053338137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 1053338137 is about 32455.1711904282. The cubic root of 1053338137 is about 1017.4723190718.

The spelling of 1053338137 in words is "one billion, fifty-three million, three hundred thirty-eight thousand, one hundred thirty-seven".