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225312151013 is a prime number
BaseRepresentation
bin1101000111010110100…
…1101001010111100101
3210112120101120011222222
43101311221221113211
512142414402313023
6251301301202125
722164305453435
oct3216551512745
9715511504888
10225312151013
1187610920974
1237800700345
1318329419121
14ac95ac22c5
155cda755cc8
hex3475a695e5

225312151013 has 2 divisors, whose sum is σ = 225312151014. Its totient is φ = 225312151012.

The previous prime is 225312150989. The next prime is 225312151037. The reversal of 225312151013 is 310151213522.

It is a balanced prime because it is at equal distance from previous prime (225312150989) and next prime (225312151037).

It can be written as a sum of positive squares in only one way, i.e., 132520025089 + 92792125924 = 364033^2 + 304618^2 .

It is a cyclic number.

It is not a de Polignac number, because 225312151013 - 28 = 225312150757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225312151093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112656075506 + 112656075507.

It is an arithmetic number, because the mean of its divisors is an integer number (112656075507).

Almost surely, 2225312151013 is an apocalyptic number.

It is an amenable number.

225312151013 is a deficient number, since it is larger than the sum of its proper divisors (1).

225312151013 is an equidigital number, since it uses as much as digits as its factorization.

225312151013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 225312151013 its reverse (310151213522), we get a palindrome (535463364535).

The spelling of 225312151013 in words is "two hundred twenty-five billion, three hundred twelve million, one hundred fifty-one thousand, thirteen".