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2038265137 is a prime number
BaseRepresentation
bin111100101111101…
…0111010100110001
312021001100121010101
41321133113110301
513133243441022
6534131032401
7101336652646
oct17137272461
95231317111
102038265137
11956602847
1248a73b701
1326638435c
141549b9dcd
15bde20627
hex797d7531

2038265137 has 2 divisors, whose sum is σ = 2038265138. Its totient is φ = 2038265136.

The previous prime is 2038265107. The next prime is 2038265219. The reversal of 2038265137 is 7315628302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1293193521 + 745071616 = 35961^2 + 27296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2038265137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2038265096 and 2038265105.

It is not a weakly prime, because it can be changed into another prime (2038265107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019132568 + 1019132569.

It is an arithmetic number, because the mean of its divisors is an integer number (1019132569).

Almost surely, 22038265137 is an apocalyptic number.

It is an amenable number.

2038265137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2038265137 is an equidigital number, since it uses as much as digits as its factorization.

2038265137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2038265137 is about 45147.1498214450. The cubic root of 2038265137 is about 1267.9055184820.

The spelling of 2038265137 in words is "two billion, thirty-eight million, two hundred sixty-five thousand, one hundred thirty-seven".