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2554405165393 is a prime number
BaseRepresentation
bin100101001010111110011…
…010011001100101010001
3100001012100212222022201021
4211022332122121211101
5313322410210243033
65233251051435441
7352356353441104
oct45127632314521
910035325868637
102554405165393
118a5354139294
12353089155b81
13156b57ca2cb3
148b8c34a473b
15466a50aeb2d
hex252be699951

2554405165393 has 2 divisors, whose sum is σ = 2554405165394. Its totient is φ = 2554405165392.

The previous prime is 2554405165241. The next prime is 2554405165399. The reversal of 2554405165393 is 3935615044552.

2554405165393 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., 2271751316289 + 282653849104 = 1507233^2 + 531652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2554405165393 - 213 = 2554405157201 is a prime.

It is a super-3 number, since 3×25544051653933 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2554405165393.

It is not a weakly prime, because it can be changed into another prime (2554405165399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1277202582696 + 1277202582697.

It is an arithmetic number, because the mean of its divisors is an integer number (1277202582697).

Almost surely, 22554405165393 is an apocalyptic number.

It is an amenable number.

2554405165393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2554405165393 is an equidigital number, since it uses as much as digits as its factorization.

2554405165393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720000, while the sum is 52.

The spelling of 2554405165393 in words is "two trillion, five hundred fifty-four billion, four hundred five million, one hundred sixty-five thousand, three hundred ninety-three".