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57937117213 is a prime number
BaseRepresentation
bin110101111101010100…
…100100000000011101
312112112201220111120001
4311331110210000131
51422123400222323
642341013254301
74120510241113
oct657524440035
9175481814501
1057937117213
1122630aa0758
12b28b034391
1356042669a1
142b38909ab3
1517915bd3ad
hexd7d52401d

57937117213 has 2 divisors, whose sum is σ = 57937117214. Its totient is φ = 57937117212.

The previous prime is 57937117211. The next prime is 57937117267. The reversal of 57937117213 is 31271173975.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43604957124 + 14332160089 = 208818^2 + 119717^2 .

It is a cyclic number.

It is not a de Polignac number, because 57937117213 - 21 = 57937117211 is a prime.

Together with 57937117211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57937117211) 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, 28968558606 + 28968558607.

It is an arithmetic number, because the mean of its divisors is an integer number (28968558607).

Almost surely, 257937117213 is an apocalyptic number.

It is an amenable number.

57937117213 is a deficient number, since it is larger than the sum of its proper divisors (1).

57937117213 is an equidigital number, since it uses as much as digits as its factorization.

57937117213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 277830, while the sum is 46.

The spelling of 57937117213 in words is "fifty-seven billion, nine hundred thirty-seven million, one hundred seventeen thousand, two hundred thirteen".