Search a number
-
+
33055078761253 is a prime number
BaseRepresentation
bin1111000010000001111000…
…01110100100001100100101
311100001000221021101000020201
413201000330032210030211
513313033300130330003
6154145143223430501
76651102444400213
oct741007416441445
9140030837330221
1033055078761253
11a59464224232a
12385a366bb5431
13155a107c86033
14823c352d7cb3
153c4c89bc5b1d
hex1e103c3a4325

33055078761253 has 2 divisors, whose sum is σ = 33055078761254. Its totient is φ = 33055078761252.

The previous prime is 33055078761251. The next prime is 33055078761347. The reversal of 33055078761253 is 35216787055033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32731019536609 + 324059224644 = 5721103^2 + 569262^2 .

It is an emirp because it is prime and its reverse (35216787055033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33055078761253 - 21 = 33055078761251 is a prime.

Together with 33055078761251, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33055078761194 and 33055078761203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33055078761251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16527539380626 + 16527539380627.

It is an arithmetic number, because the mean of its divisors is an integer number (16527539380627).

Almost surely, 233055078761253 is an apocalyptic number.

It is an amenable number.

33055078761253 is a deficient number, since it is larger than the sum of its proper divisors (1).

33055078761253 is an equidigital number, since it uses as much as digits as its factorization.

33055078761253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876000, while the sum is 55.

The spelling of 33055078761253 in words is "thirty-three trillion, fifty-five billion, seventy-eight million, seven hundred sixty-one thousand, two hundred fifty-three".