Search a number
-
+
1052057653 is a prime number
BaseRepresentation
bin111110101101010…
…010000000110101
32201022122001210021
4332231102000311
54123311321103
6252221125141
735033225323
oct7655220065
92638561707
101052057653
1149a94a539
122543b97b1
13139c6602a
149da1cd13
1562565bbd
hex3eb52035

1052057653 has 2 divisors, whose sum is σ = 1052057654. Its totient is φ = 1052057652.

The previous prime is 1052057647. The next prime is 1052057689. The reversal of 1052057653 is 3567502501.

1052057653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1037935089 + 14122564 = 32217^2 + 3758^2 .

It is an emirp because it is prime and its reverse (3567502501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1052057653 - 213 = 1052049461 is a prime.

It is a super-3 number, since 3×10520576533 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1052058653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526028826 + 526028827.

It is an arithmetic number, because the mean of its divisors is an integer number (526028827).

Almost surely, 21052057653 is an apocalyptic number.

It is an amenable number.

1052057653 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052057653 is an equidigital number, since it uses as much as digits as its factorization.

1052057653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 1052057653 is about 32435.4382273463. The cubic root of 1052057653 is about 1017.0598572444.

The spelling of 1052057653 in words is "one billion, fifty-two million, fifty-seven thousand, six hundred fifty-three".