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1058355361 = 7221599089
BaseRepresentation
bin111111000101010…
…011100010100001
32201202111000121201
4333011103202201
54131414332421
6253004121201
735140605100
oct7705234241
92652430551
101058355361
114a3461058
12256536201
1313b35c69b
14a07bc037
1562dabb91
hex3f1538a1

1058355361 has 6 divisors (see below), whose sum is σ = 1231148130. Its totient is φ = 907161696.

The previous prime is 1058355359. The next prime is 1058355409. The reversal of 1058355361 is 1635538501.

1058355361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 774230625 + 284124736 = 27825^2 + 16856^2 .

It is not a de Polignac number, because 1058355361 - 21 = 1058355359 is a prime.

It is a super-3 number, since 3×10583553613 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1058355361.

It is not an unprimeable number, because it can be changed into a prime (1058355301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10799496 + ... + 10799593.

It is an arithmetic number, because the mean of its divisors is an integer number (205191355).

Almost surely, 21058355361 is an apocalyptic number.

It is an amenable number.

1058355361 is a deficient number, since it is larger than the sum of its proper divisors (172792769).

1058355361 is an equidigital number, since it uses as much as digits as its factorization.

1058355361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599103 (or 21599096 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 1058355361 is about 32532.3740449418. The cubic root of 1058355361 is about 1019.0852239879.

The spelling of 1058355361 in words is "one billion, fifty-eight million, three hundred fifty-five thousand, three hundred sixty-one".

Divisors: 1 7 49 21599089 151193623 1058355361