Search a number
-
+
33253113542057 is a prime number
BaseRepresentation
bin1111000111110010110000…
…00001010011010110101001
311100201222002122202012210222
413203321120001103112221
513324304334031321212
6154420134112215425
710001313103302203
oct743713001232651
9140658078665728
1033253113542057
11a660625762232
12389081453a575
1315729a80b7bc6
1482d6603b5773
153c9eca857c72
hex1e3e580535a9

33253113542057 has 2 divisors, whose sum is σ = 33253113542058. Its totient is φ = 33253113542056.

The previous prime is 33253113542017. The next prime is 33253113542101. The reversal of 33253113542057 is 75024531135233.

It is an a-pointer prime, because the next prime (33253113542101) can be obtained adding 33253113542057 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33150464430736 + 102649111321 = 5757644^2 + 320389^2 .

It is a cyclic number.

It is not a de Polignac number, because 33253113542057 - 214 = 33253113525673 is a prime.

It is a super-2 number, since 2×332531135420572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33253113541999 and 33253113542017.

It is not a weakly prime, because it can be changed into another prime (33253113542017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16626556771028 + 16626556771029.

It is an arithmetic number, because the mean of its divisors is an integer number (16626556771029).

Almost surely, 233253113542057 is an apocalyptic number.

It is an amenable number.

33253113542057 is a deficient number, since it is larger than the sum of its proper divisors (1).

33253113542057 is an equidigital number, since it uses as much as digits as its factorization.

33253113542057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134000, while the sum is 44.

The spelling of 33253113542057 in words is "thirty-three trillion, two hundred fifty-three billion, one hundred thirteen million, five hundred forty-two thousand, fifty-seven".