Search a number
-
+
1052037127 is a prime number
BaseRepresentation
bin111110101101001…
…101000000000111
32201022121000122001
4332231031000013
54123310142002
6252220450131
735033111431
oct7655150007
92638530561
101052037127
1149a936079
122543a9947
13139c5989b
149da15651
156255ea87
hex3eb4d007

1052037127 has 2 divisors, whose sum is σ = 1052037128. Its totient is φ = 1052037126.

The previous prime is 1052037113. The next prime is 1052037137. The reversal of 1052037127 is 7217302501.

1052037127 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1052037127 is a prime.

It is a super-2 number, since 2×10520371272 = 2213564233172828258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052037095 and 1052037104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1052037137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526018563 + 526018564.

It is an arithmetic number, because the mean of its divisors is an integer number (526018564).

Almost surely, 21052037127 is an apocalyptic number.

1052037127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052037127 is an equidigital number, since it uses as much as digits as its factorization.

1052037127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1052037127 is about 32435.1218126277. The cubic root of 1052037127 is about 1017.0532428077.

Adding to 1052037127 its reverse (7217302501), we get a palindrome (8269339628).

The spelling of 1052037127 in words is "one billion, fifty-two million, thirty-seven thousand, one hundred twenty-seven".