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57953681 is a prime number
BaseRepresentation
bin1101110100010…
…0110110010001
311001001100111122
43131010312101
5104314004211
65430052025
71302412112
oct335046621
9131040448
1057953681
112a793505
12174aa015
13c011726
1479a8209
15514b6db
hex3744d91

57953681 has 2 divisors, whose sum is σ = 57953682. Its totient is φ = 57953680.

The previous prime is 57953677. The next prime is 57953713. The reversal of 57953681 is 18635975.

57953681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30747025 + 27206656 = 5545^2 + 5216^2 .

It is a cyclic number.

It is not a de Polignac number, because 57953681 - 22 = 57953677 is a prime.

It is a super-2 number, since 2×579536812 = 6717258282899522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57953081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28976840 + 28976841.

It is an arithmetic number, because the mean of its divisors is an integer number (28976841).

Almost surely, 257953681 is an apocalyptic number.

It is an amenable number.

57953681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57953681 is an equidigital number, since it uses as much as digits as its factorization.

57953681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 44.

The square root of 57953681 is about 7612.7315071530. The cubic root of 57953681 is about 386.9845934393.

The spelling of 57953681 in words is "fifty-seven million, nine hundred fifty-three thousand, six hundred eighty-one".