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1055011160561 = 17234589105541
BaseRepresentation
bin11110101101000111001…
…00001100000111110001
310201212011112121221002012
433112203210030013301
5114241130324114221
62124355422332305
7136136105621231
oct17264344140761
93655145557065
101055011160561
11377478329056
1215057512a095
13786442a4017
14390c4501cc1
151c69b01965b
hexf5a390c1f1

1055011160561 has 12 divisors (see below), whose sum is σ = 1120764218460. Its totient is φ = 992913565440.

The previous prime is 1055011160551. The next prime is 1055011160617. The reversal of 1055011160561 is 1650611105501.

1055011160561 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 6 ways, for example, as 24290781025 + 1030720379536 = 155855^2 + 1015244^2 .

It is not a de Polignac number, because 1055011160561 - 214 = 1055011144177 is a prime.

It is a super-3 number, since 3×10550111605613 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055011160551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9943451 + ... + 10048991.

It is an arithmetic number, because the mean of its divisors is an integer number (93397018205).

Almost surely, 21055011160561 is an apocalyptic number.

It is an amenable number.

1055011160561 is a deficient number, since it is larger than the sum of its proper divisors (65753057899).

1055011160561 is a wasteful number, since it uses less digits than its factorization.

1055011160561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140164 (or 140147 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 1055011160561 in words is "one trillion, fifty-five billion, eleven million, one hundred sixty thousand, five hundred sixty-one".

Divisors: 1 17 289 34589 105541 588013 1794197 9996221 30501349 3650557649 62059480033 1055011160561