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1003135325 = 5240125413
BaseRepresentation
bin111011110010101…
…010000101011101
32120220120112222012
4323302222011131
54023300312300
6243312401005
733600336533
oct7362520535
92526515865
101003135325
11475275465
1223bb46165
1312ca972ca
1497326153
155d100435
hex3bcaa15d

1003135325 has 6 divisors (see below), whose sum is σ = 1243887834. Its totient is φ = 802508240.

The previous prime is 1003135321. The next prime is 1003135351. The reversal of 1003135325 is 5235313001.

It can be written as a sum of positive squares in 3 ways, for example, as 209764 + 1002925561 = 458^2 + 31669^2 .

It is not a de Polignac number, because 1003135325 - 22 = 1003135321 is a prime.

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 1003135325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003135321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20062682 + ... + 20062731.

It is an arithmetic number, because the mean of its divisors is an integer number (207314639).

Almost surely, 21003135325 is an apocalyptic number.

It is an amenable number.

1003135325 is a deficient number, since it is larger than the sum of its proper divisors (240752509).

1003135325 is an equidigital number, since it uses as much as digits as its factorization.

1003135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40125423 (or 40125418 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1003135325 is about 31672.3116459787. The cubic root of 1003135325 is about 1001.0440179805.

Adding to 1003135325 its reverse (5235313001), we get a palindrome (6238448326).

The spelling of 1003135325 in words is "one billion, three million, one hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 5 25 40125413 200627065 1003135325