Search a number
-
+
601058329561 is a prime number
BaseRepresentation
bin10001011111100011101…
…11100100001111011001
32010110102210021202201101
420233301313210033121
534321431413021221
61140042233551401
761265533334644
oct10576167441731
92113383252641
10601058329561
112119a8837228
12985a5275561
13448aacab211
142113ca56a5b
151097cc21d91
hex8bf1de43d9

601058329561 has 2 divisors, whose sum is σ = 601058329562. Its totient is φ = 601058329560.

The previous prime is 601058329453. The next prime is 601058329567. The reversal of 601058329561 is 165923850106.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 529103486025 + 71954843536 = 727395^2 + 268244^2 .

It is a cyclic number.

It is not a de Polignac number, because 601058329561 - 27 = 601058329433 is a prime.

It is a super-2 number, since 2×6010583295612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (601058329567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300529164780 + 300529164781.

It is an arithmetic number, because the mean of its divisors is an integer number (300529164781).

Almost surely, 2601058329561 is an apocalyptic number.

It is an amenable number.

601058329561 is a deficient number, since it is larger than the sum of its proper divisors (1).

601058329561 is an equidigital number, since it uses as much as digits as its factorization.

601058329561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 601058329561 in words is "six hundred one billion, fifty-eight million, three hundred twenty-nine thousand, five hundred sixty-one".