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253224003401525 = 52133721058129181
BaseRepresentation
bin111001100100111001001110…
…110001010111011100110101
31020012120222102011222102101002
4321210321032301113130311
5231142310224332322100
62254321300132413045
7104223554602555352
oct7144711661273465
91205528364872332
10253224003401525
1173759773425132
1224498612477185
13ab3abc874b590
144676170089629
151e41e0dd2b2d5
hexe64e4ec57735

253224003401525 has 24 divisors (see below), whose sum is σ = 347290666469544. Its totient is φ = 181942236115200.

The previous prime is 253224003401519. The next prime is 253224003401563. The reversal of 253224003401525 is 525104300422352.

It can be written as a sum of positive squares in 12 ways, for example, as 93879860262244 + 159344143139281 = 9689162^2 + 12623159^2 .

It is not a de Polignac number, because 253224003401525 - 212 = 253224003397429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10529052566 + ... + 10529076615.

It is an arithmetic number, because the mean of its divisors is an integer number (14470444436231).

Almost surely, 2253224003401525 is an apocalyptic number.

253224003401525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253224003401525 is a deficient number, since it is larger than the sum of its proper divisors (94066663068019).

253224003401525 is a wasteful number, since it uses less digits than its factorization.

253224003401525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21058129241 (or 21058129236 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 253224003401525 its reverse (525104300422352), we get a palindrome (778328303823877).

The spelling of 253224003401525 in words is "two hundred fifty-three trillion, two hundred twenty-four billion, three million, four hundred one thousand, five hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 925 2405 12025 21058129181 105290645905 273755679353 526453229525 779150779697 1368778396765 3895753898485 6843891983825 10128960136061 19478769492425 50644800680305 253224003401525