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85401210413 is a prime number
BaseRepresentation
bin100111110001001001…
…1110000111000101101
322011102202102222210002
41033202103300320231
52344400202213123
6103122140154045
76112215211511
oct1174223607055
9264382388702
1085401210413
1133244836442
1214674838925
138090139bcc
1441c2238141
15234c777528
hex13e24f0e2d

85401210413 has 2 divisors, whose sum is σ = 85401210414. Its totient is φ = 85401210412.

The previous prime is 85401210409. The next prime is 85401210491. The reversal of 85401210413 is 31401210458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81820025764 + 3581184649 = 286042^2 + 59843^2 .

It is a cyclic number.

It is not a de Polignac number, because 85401210413 - 22 = 85401210409 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85401210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42700605206 + 42700605207.

It is an arithmetic number, because the mean of its divisors is an integer number (42700605207).

Almost surely, 285401210413 is an apocalyptic number.

It is an amenable number.

85401210413 is a deficient number, since it is larger than the sum of its proper divisors (1).

85401210413 is an equidigital number, since it uses as much as digits as its factorization.

85401210413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 85401210413 in words is "eighty-five billion, four hundred one million, two hundred ten thousand, four hundred thirteen".