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252105214450425 = 352718012207120811
BaseRepresentation
bin111001010100100111010001…
…110000001101101011111001
31020001122000121212012001011120
4321110213101300031223321
5231020442434344403200
62252103311530415453
7104050000142440620
oct7124472160155371
91201560555161146
10252105214450425
1173368248208086
122433781a291589
13aa8955c15ac7b
144637d594a46b7
151e22c7dacd9a0
hexe549d1c0daf9

252105214450425 has 96 divisors (see below), whose sum is σ = 476843208843264. Its totient is φ = 115130963520000.

The previous prime is 252105214450417. The next prime is 252105214450471. The reversal of 252105214450425 is 524054412501252.

It is not a de Polignac number, because 252105214450425 - 23 = 252105214450417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2086713270 + ... + 2086834080.

It is an arithmetic number, because the mean of its divisors is an integer number (4967116758784).

Almost surely, 2252105214450425 is an apocalyptic number.

252105214450425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252105214450425 is a deficient number, since it is larger than the sum of its proper divisors (224737994392839).

252105214450425 is a wasteful number, since it uses less digits than its factorization.

252105214450425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124839 (or 124834 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

Adding to 252105214450425 its reverse (524054412501252), we get a palindrome (776159626951677).

The spelling of 252105214450425 in words is "two hundred fifty-two trillion, one hundred five billion, two hundred fourteen million, four hundred fifty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 1801 2207 5403 6621 9005 11035 12607 15449 27015 33105 37821 45025 46347 55175 63035 77245 120811 135075 165525 189105 231735 315175 362433 386225 604055 845677 945525 1158675 1812165 2537031 3020275 3974807 4228385 9060825 11924421 12685155 19874035 21141925 27823649 59622105 63425775 83470947 99370175 139118245 217580611 266629877 298110525 417354735 652741833 695591225 799889631 1087903055 1333149385 1523064277 1866409139 2086773675 3263709165 3999448155 4569192831 5439515275 5599227417 6665746925 7615321385 9332045695 16318545825 19997240775 22845964155 27996137085 38076606925 46660228475 114229820775 139980685425 480200408477 1440601225431 2401002042385 3361402859339 7203006127155 10084208578017 12005010211925 16807014296695 36015030635775 50421042890085 84035071483475 252105214450425