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52152313 is a prime number
BaseRepresentation
bin1100011011110…
…0011111111001
310122010121112011
43012330133321
5101322333223
65101445521
71202200363
oct306743771
9118117464
1052152313
1127490894
12155708a1
13aa5cc75
146cd7d33
1548a280d
hex31bc7f9

52152313 has 2 divisors, whose sum is σ = 52152314. Its totient is φ = 52152312.

The previous prime is 52152307. The next prime is 52152319. The reversal of 52152313 is 31325125.

It is a balanced prime because it is at equal distance from previous prime (52152307) and next prime (52152319).

It can be written as a sum of positive squares in only one way, i.e., 47499664 + 4652649 = 6892^2 + 2157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52152313 is a prime.

It is not a weakly prime, because it can be changed into another prime (52152319) 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 as a sum of consecutive naturals, namely, 26076156 + 26076157.

It is an arithmetic number, because the mean of its divisors is an integer number (26076157).

Almost surely, 252152313 is an apocalyptic number.

It is an amenable number.

52152313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52152313 is an equidigital number, since it uses as much as digits as its factorization.

52152313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 900, while the sum is 22.

The square root of 52152313 is about 7221.6558350561. The cubic root of 52152313 is about 373.6151899124.

Adding to 52152313 its reverse (31325125), we get a palindrome (83477438).

The spelling of 52152313 in words is "fifty-two million, one hundred fifty-two thousand, three hundred thirteen".