Search a number
-
+
164011250523053 is a prime number
BaseRepresentation
bin100101010010101011011000…
…010100111001101110101101
3210111201022201001020112110002
4211102223120110321232231
5132444130020113214203
61340453421152554045
746355264453150633
oct4522533024715655
9714638631215402
10164011250523053
114829386517938a
121648a58bb52925
13706926b5b0c9b
142c70288b2d353
1513e6497da5d88
hex952ad8539bad

164011250523053 has 2 divisors, whose sum is σ = 164011250523054. Its totient is φ = 164011250523052.

The previous prime is 164011250523011. The next prime is 164011250523061. The reversal of 164011250523053 is 350325052110461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158515100117284 + 5496150405769 = 12590278^2 + 2344387^2 .

It is a cyclic number.

It is not a de Polignac number, because 164011250523053 - 220 = 164011249474477 is a prime.

It is a super-3 number, since 3×1640112505230533 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164011250522998 and 164011250523016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164011250520053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82005625261526 + 82005625261527.

It is an arithmetic number, because the mean of its divisors is an integer number (82005625261527).

Almost surely, 2164011250523053 is an apocalyptic number.

It is an amenable number.

164011250523053 is a deficient number, since it is larger than the sum of its proper divisors (1).

164011250523053 is an equidigital number, since it uses as much as digits as its factorization.

164011250523053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 164011250523053 in words is "one hundred sixty-four trillion, eleven billion, two hundred fifty million, five hundred twenty-three thousand, fifty-three".