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801381353 is a prime number
BaseRepresentation
bin101111110001000…
…001101111101001
32001211221101112212
4233301001233221
53120123200403
6211304214505
725600425533
oct5761015751
92054841485
10801381353
113813a4743
121a446a435
13ca047866
1478608853
154a54b4d8
hex2fc41be9

801381353 has 2 divisors, whose sum is σ = 801381354. Its totient is φ = 801381352.

The previous prime is 801381337. The next prime is 801381391. The reversal of 801381353 is 353183108.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737828569 + 63552784 = 27163^2 + 7972^2 .

It is a cyclic number.

It is not a de Polignac number, because 801381353 - 24 = 801381337 is a prime.

It is a super-2 number, since 2×8013813532 = 1284424145872221218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (801381313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400690676 + 400690677.

It is an arithmetic number, because the mean of its divisors is an integer number (400690677).

Almost surely, 2801381353 is an apocalyptic number.

It is an amenable number.

801381353 is a deficient number, since it is larger than the sum of its proper divisors (1).

801381353 is an equidigital number, since it uses as much as digits as its factorization.

801381353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 801381353 is about 28308.6798173281. The cubic root of 801381353 is about 928.8517655450.

The spelling of 801381353 in words is "eight hundred one million, three hundred eighty-one thousand, three hundred fifty-three".