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1385314153253 is a prime number
BaseRepresentation
bin10100001010001011001…
…010000111001100100101
311220102201220222111000222
4110022023022013030211
5140144110410401003
62540223214014125
7202041243005222
oct24121312071445
94812656874028
101385314153253
114945657a7268
121a4596aa7345
13a08331a2a24
144b09a000949
152607dc02c38
hex1428b287325

1385314153253 has 2 divisors, whose sum is σ = 1385314153254. Its totient is φ = 1385314153252.

The previous prime is 1385314153217. The next prime is 1385314153259. The reversal of 1385314153253 is 3523514135831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1375382436289 + 9931716964 = 1172767^2 + 99658^2 .

It is a cyclic number.

It is not a de Polignac number, because 1385314153253 - 26 = 1385314153189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1385314153259) 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, 692657076626 + 692657076627.

It is an arithmetic number, because the mean of its divisors is an integer number (692657076627).

Almost surely, 21385314153253 is an apocalyptic number.

It is an amenable number.

1385314153253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1385314153253 is an equidigital number, since it uses as much as digits as its factorization.

1385314153253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648000, while the sum is 44.

The spelling of 1385314153253 in words is "one trillion, three hundred eighty-five billion, three hundred fourteen million, one hundred fifty-three thousand, two hundred fifty-three".