Search a number
-
+
153585104037097 is a prime number
BaseRepresentation
bin100010111010111101010001…
…100100011010010011101001
3202010210120222222012210202011
4202322331101210122103221
5130112314243113141342
61302352004525435521
744231105024234305
oct4272752144322351
9663716888183664
10153585104037097
1144a34093301097
12152859a470bba1
136791022c05485
1429cd7b70d4d05
1512b517adcc717
hex8baf5191a4e9

153585104037097 has 2 divisors, whose sum is σ = 153585104037098. Its totient is φ = 153585104037096.

The previous prime is 153585104037091. The next prime is 153585104037137. The reversal of 153585104037097 is 790730401585351.

153585104037097 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., 80304467548176 + 73280636488921 = 8961276^2 + 8560411^2 .

It is a cyclic number.

It is not a de Polignac number, because 153585104037097 - 239 = 153035348223209 is a prime.

It is not a weakly prime, because it can be changed into another prime (153585104037091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76792552018548 + 76792552018549.

It is an arithmetic number, because the mean of its divisors is an integer number (76792552018549).

Almost surely, 2153585104037097 is an apocalyptic number.

It is an amenable number.

153585104037097 is a deficient number, since it is larger than the sum of its proper divisors (1).

153585104037097 is an equidigital number, since it uses as much as digits as its factorization.

153585104037097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876000, while the sum is 58.

The spelling of 153585104037097 in words is "one hundred fifty-three trillion, five hundred eighty-five billion, one hundred four million, thirty-seven thousand, ninety-seven".