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55312013 is a prime number
BaseRepresentation
bin1101001011111…
…1111010001101
310212002010211002
43102333322031
5103124441023
65253310045
71241100341
oct322777215
9125063732
1055312013
1129249809
1216635325
13b5c8203
1474bb621
154cc8b28
hex34bfe8d

55312013 has 2 divisors, whose sum is σ = 55312014. Its totient is φ = 55312012.

The previous prime is 55312007. The next prime is 55312039. The reversal of 55312013 is 31021355.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52809289 + 2502724 = 7267^2 + 1582^2 .

It is a cyclic number.

It is not a de Polignac number, because 55312013 - 210 = 55310989 is a prime.

It is a super-2 number, since 2×553120132 = 6118837564224338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55312043) 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, 27656006 + 27656007.

It is an arithmetic number, because the mean of its divisors is an integer number (27656007).

Almost surely, 255312013 is an apocalyptic number.

It is an amenable number.

55312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

55312013 is an equidigital number, since it uses as much as digits as its factorization.

55312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 55312013 is about 7437.2046495979. The cubic root of 55312013 is about 381.0130241734.

Adding to 55312013 its reverse (31021355), we get a palindrome (86333368).

The spelling of 55312013 in words is "fifty-five million, three hundred twelve thousand, thirteen".