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2612152313 is a prime number
BaseRepresentation
bin1001101110110010…
…0100011111111001
320202001020002022222
42123230210133321
520322202333223
61111111253425
7121505633261
oct23354443771
96661202288
102612152313
111120545771
1260a97a275
13328239374
141aacc67a1
151044d10c8
hex9bb247f9

2612152313 has 2 divisors, whose sum is σ = 2612152314. Its totient is φ = 2612152312.

The previous prime is 2612152237. The next prime is 2612152327. The reversal of 2612152313 is 3132512162.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2240318224 + 371834089 = 47332^2 + 19283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2612152313 is a prime.

It is a super-3 number, since 3×26121523133 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2612112313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306076156 + 1306076157.

It is an arithmetic number, because the mean of its divisors is an integer number (1306076157).

Almost surely, 22612152313 is an apocalyptic number.

It is an amenable number.

2612152313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2612152313 is an equidigital number, since it uses as much as digits as its factorization.

2612152313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 2612152313 is about 51109.2194520715. The cubic root of 2612152313 is about 1377.2078799269.

Adding to 2612152313 its reverse (3132512162), we get a palindrome (5744664475).

The spelling of 2612152313 in words is "two billion, six hundred twelve million, one hundred fifty-two thousand, three hundred thirteen".