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57952525681 is a prime number
BaseRepresentation
bin110101111110001111…
…010101110101110001
312112120210220100000001
4311332033111311301
51422141321310211
642342323430001
74121055224551
oct657617256561
9175523810001
1057952525681
1122639765326
12b294225301
13560750021b
142b3a99b161
151792b13ac1
hexd7e3d5d71

57952525681 has 2 divisors, whose sum is σ = 57952525682. Its totient is φ = 57952525680.

The previous prime is 57952525663. The next prime is 57952525721. The reversal of 57952525681 is 18652525975.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44033245281 + 13919280400 = 209841^2 + 117980^2 .

It is a cyclic number.

It is not a de Polignac number, because 57952525681 - 211 = 57952523633 is a prime.

It is a super-2 number, since 2×579525256812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57952525601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28976262840 + 28976262841.

It is an arithmetic number, because the mean of its divisors is an integer number (28976262841).

Almost surely, 257952525681 is an apocalyptic number.

It is an amenable number.

57952525681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57952525681 is an equidigital number, since it uses as much as digits as its factorization.

57952525681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560000, while the sum is 55.

The spelling of 57952525681 in words is "fifty-seven billion, nine hundred fifty-two million, five hundred twenty-five thousand, six hundred eighty-one".