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57523617401 is a prime number
BaseRepresentation
bin110101100100101011…
…001011111001111001
312111110220211112110012
4311210223023321321
51420302021224101
642232002431305
74104326452235
oct654453137171
9174426745405
1057523617401
1122439645178
12b194662535
1355696a9843
142ad9a2d5c5
15176a13ebbb
hexd64acbe79

57523617401 has 2 divisors, whose sum is σ = 57523617402. Its totient is φ = 57523617400.

The previous prime is 57523617353. The next prime is 57523617449. The reversal of 57523617401 is 10471632575.

It is a balanced prime because it is at equal distance from previous prime (57523617353) and next prime (57523617449).

It can be written as a sum of positive squares in only one way, i.e., 31506250000 + 26017367401 = 177500^2 + 161299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57523617401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57523617901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28761808700 + 28761808701.

It is an arithmetic number, because the mean of its divisors is an integer number (28761808701).

Almost surely, 257523617401 is an apocalyptic number.

It is an amenable number.

57523617401 is a deficient number, since it is larger than the sum of its proper divisors (1).

57523617401 is an equidigital number, since it uses as much as digits as its factorization.

57523617401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 57523617401 in words is "fifty-seven billion, five hundred twenty-three million, six hundred seventeen thousand, four hundred one".