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1071005125 = 538568041
BaseRepresentation
bin111111110101100…
…011110111000101
32202122021200211111
4333311203313011
54143134131000
6254135205021
735353251631
oct7765436705
92678250744
101071005125
114aa611003
1225a816771
13140b6b358
14a2351dc1
1564059cba
hex3fd63dc5

1071005125 has 8 divisors (see below), whose sum is σ = 1336614552. Its totient is φ = 856804000.

The previous prime is 1071005123. The next prime is 1071005137. The reversal of 1071005125 is 5215001701.

It can be written as a sum of positive squares in 4 ways, for example, as 330403329 + 740601796 = 18177^2 + 27214^2 .

It is not a de Polignac number, because 1071005125 - 21 = 1071005123 is a prime.

It is a super-2 number, since 2×10710051252 = 2294103955552531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1071005096 and 1071005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071005123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4283896 + ... + 4284145.

It is an arithmetic number, because the mean of its divisors is an integer number (167076819).

Almost surely, 21071005125 is an apocalyptic number.

It is an amenable number.

1071005125 is a deficient number, since it is larger than the sum of its proper divisors (265609427).

1071005125 is an frugal number, since it uses more digits than its factorization.

1071005125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568056 (or 8568046 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 1071005125 is about 32726.2146451434. The cubic root of 1071005125 is about 1023.1292866544.

Adding to 1071005125 its reverse (5215001701), we get a palindrome (6286006826).

It can be divided in two parts, 107100 and 5125, that added together give a square (112225 = 3352).

The spelling of 1071005125 in words is "one billion, seventy-one million, five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 8568041 42840205 214201025 1071005125