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253244331325 = 5289495722961
BaseRepresentation
bin1110101111011010001…
…0011101010100111101
3220012200000212222000201
43223312202131110331
513122121022100300
6312201104523501
724203426204446
oct3536642352475
9805600788021
10253244331325
1198444906407
12410b7020591
131ab5b27c87b
14c38565a2cd
1568c2a7266a
hex3af689d53d

253244331325 has 24 divisors (see below), whose sum is σ = 317629212840. Its totient is φ = 200269977600.

The previous prime is 253244331299. The next prime is 253244331337. The reversal of 253244331325 is 523133442352.

It can be written as a sum of positive squares in 12 ways, for example, as 40218698116 + 213025633209 = 200546^2 + 461547^2 .

It is not a de Polignac number, because 253244331325 - 25 = 253244331293 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11017845 + ... + 11040805.

It is an arithmetic number, because the mean of its divisors is an integer number (13234550535).

Almost surely, 2253244331325 is an apocalyptic number.

253244331325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253244331325 is a deficient number, since it is larger than the sum of its proper divisors (64384881515).

253244331325 is a wasteful number, since it uses less digits than its factorization.

253244331325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28017 (or 28012 counting only the distinct ones).

The product of its digits is 259200, while the sum is 37.

Adding to 253244331325 its reverse (523133442352), we get a palindrome (776377773677).

The spelling of 253244331325 in words is "two hundred fifty-three billion, two hundred forty-four million, three hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 5 25 89 445 2225 4957 22961 24785 114805 123925 441173 574025 2043529 2205865 10217645 11029325 51088225 113817677 569088385 2845441925 10129773253 50648866265 253244331325