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1331153257 = 7227166393
BaseRepresentation
bin100111101010111…
…1100100101101001
310102202210120222111
41033111330211221
510211233401012
6340031122321
744662421200
oct11725744551
93382716874
101331153257
11623446165
123119733a1
13182a24b65
14c8b10237
157bce5ba7
hex4f57c969

1331153257 has 6 divisors (see below), whose sum is σ = 1548484458. Its totient is φ = 1140988464.

The previous prime is 1331153203. The next prime is 1331153269. The reversal of 1331153257 is 7523511331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 697171216 + 633982041 = 26404^2 + 25179^2 .

It is not a de Polignac number, because 1331153257 - 219 = 1330628969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331753257) 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, 13583148 + ... + 13583245.

It is an arithmetic number, because the mean of its divisors is an integer number (258080743).

Almost surely, 21331153257 is an apocalyptic number.

It is an amenable number.

1331153257 is a deficient number, since it is larger than the sum of its proper divisors (217331201).

1331153257 is an equidigital number, since it uses as much as digits as its factorization.

1331153257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27166407 (or 27166400 counting only the distinct ones).

The product of its digits is 9450, while the sum is 31.

The square root of 1331153257 is about 36484.9730300024. The cubic root of 1331153257 is about 1100.0422179389.

Adding to 1331153257 its reverse (7523511331), we get a palindrome (8854664588).

The spelling of 1331153257 in words is "one billion, three hundred thirty-one million, one hundred fifty-three thousand, two hundred fifty-seven".

Divisors: 1 7 49 27166393 190164751 1331153257