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525301242103525 = 522773471559140221
BaseRepresentation
bin111011101110000100011100…
…1111011111000011011100101
32112212221022022202022200221211
41313130020321323320123211
51022323013420434303100
65101120020440111421
7215434522322411356
oct16734107173703345
92485838282280854
10525301242103525
111424170076573a8
124aabaa97165571
1319715904cb3b84
1493a0a04131d2d
1540ae45671a1ba
hex1ddc239ef86e5

525301242103525 has 48 divisors (see below), whose sum is σ = 656034213444480. Its totient is φ = 417246394579200.

The previous prime is 525301242103511. The next prime is 525301242103591.

525301242103525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525301242103525 - 211 = 525301242101477 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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3746167915 + ... + 3746308135.

It is an arithmetic number, because the mean of its divisors is an integer number (13667379446760).

Almost surely, 2525301242103525 is an apocalyptic number.

It is an amenable number.

525301242103525 is a deficient number, since it is larger than the sum of its proper divisors (130732971340955).

525301242103525 is a wasteful number, since it uses less digits than its factorization.

525301242103525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142414 (or 142409 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 525301242103525 in words is "five hundred twenty-five trillion, three hundred one billion, two hundred forty-two million, one hundred three thousand, five hundred twenty-five".

Divisors: 1 5 25 277 347 1385 1559 1735 6925 7795 8675 38975 96119 140221 431843 480595 540973 701105 2159215 2402975 2704865 3505525 10796075 13524325 38841217 48656687 149849521 194206085 218604539 243283435 749247605 971030425 1093022695 1216417175 3746238025 5465113475 13477902299 60553457303 67389511495 75855775033 302767286515 336947557475 379278875165 1513836432575 1896394375825 21012049684141 105060248420705 525301242103525