Search a number
-
+
853735107457 is a prime number
BaseRepresentation
bin11000110110001101001…
…00111110101110000001
310000121122021020000210201
430123012210332232001
5102441422141414312
61452111150125201
7115452231451621
oct14330644765601
93017567200721
10853735107457
112aa081236311
121195621b0801
13626787b294b
142d46cb74881
151731aa35557
hexc6c693eb81

853735107457 has 2 divisors, whose sum is σ = 853735107458. Its totient is φ = 853735107456.

The previous prime is 853735107419. The next prime is 853735107481. The reversal of 853735107457 is 754701537358.

853735107457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 836257209841 + 17477897616 = 914471^2 + 132204^2 .

It is a cyclic number.

It is not a de Polignac number, because 853735107457 - 223 = 853726718849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 853735107398 and 853735107407.

It is not a weakly prime, because it can be changed into another prime (883735107457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426867553728 + 426867553729.

It is an arithmetic number, because the mean of its divisors is an integer number (426867553729).

Almost surely, 2853735107457 is an apocalyptic number.

It is an amenable number.

853735107457 is a deficient number, since it is larger than the sum of its proper divisors (1).

853735107457 is an equidigital number, since it uses as much as digits as its factorization.

853735107457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12348000, while the sum is 55.

The spelling of 853735107457 in words is "eight hundred fifty-three billion, seven hundred thirty-five million, one hundred seven thousand, four hundred fifty-seven".