Search a number
-
+
253433313101325 = 3527626261770813
BaseRepresentation
bin111001100111111100001010…
…100110100000011000001101
31020020022222200100002212010210
4321213330022212200120031
5231204222411123220300
62255001353505553033
7104244644516632320
oct7147741246403015
91206288610085123
10253433313101325
117382a512286605
12245110a7945779
13ab54874733856
14468234875c7b7
151e475ae755050
hexe67f0a9a060d

253433313101325 has 48 divisors (see below), whose sum is σ = 478869665129856. Its totient is φ = 115854893548800.

The previous prime is 253433313101321. The next prime is 253433313101347. The reversal of 253433313101325 is 523101313334352.

It is not a de Polignac number, because 253433313101325 - 22 = 253433313101321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253433313101321) 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 in 47 ways as a sum of consecutive naturals, for example, 328401619 + ... + 329172431.

It is an arithmetic number, because the mean of its divisors is an integer number (9976451356872).

Almost surely, 2253433313101325 is an apocalyptic number.

253433313101325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253433313101325 is a deficient number, since it is larger than the sum of its proper divisors (225436352028531).

253433313101325 is a wasteful number, since it uses less digits than its factorization.

253433313101325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397094 (or 1397089 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 39.

Adding to 253433313101325 its reverse (523101313334352), we get a palindrome (776534626435677).

The spelling of 253433313101325 in words is "two hundred fifty-three trillion, four hundred thirty-three billion, three hundred thirteen million, one hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 626261 770813 1878783 2312439 3131305 3854065 4383827 5395691 9393915 11562195 13151481 15656525 16187073 19270325 21919135 26978455 46969575 57810975 65757405 80935365 109595675 134892275 328787025 404676825 482730120193 1448190360579 2413650600965 3379110841351 7240951802895 10137332524053 12068253004825 16895554206755 36204759014475 50686662620265 84477771033775 253433313101325