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1020132025325 = 52726188715391
BaseRepresentation
bin11101101100001001001…
…10110110001111101101
310121112010202101021102122
432312010212312033231
5113203212244302300
62100350413402325
7133462552100300
oct16660446661755
93545122337378
101020132025325
113636a9a2a556
121458601993a5
137527611aa6a
1437536098b37
151b808db0c85
hexed849b63ed

1020132025325 has 72 divisors (see below), whose sum is σ = 1497394589184. Its totient is φ = 687231216000.

The previous prime is 1020132025307. The next prime is 1020132025333. The reversal of 1020132025325 is 5235202310201.

It is a happy number.

It is not a de Polignac number, because 1020132025325 - 218 = 1020131763181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020132025294 and 1020132025303.

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 71 ways as a sum of consecutive naturals, for example, 66273380 + ... + 66288770.

It is an arithmetic number, because the mean of its divisors is an integer number (20797147072).

Almost surely, 21020132025325 is an apocalyptic number.

It is an amenable number.

1020132025325 is a deficient number, since it is larger than the sum of its proper divisors (477262563859).

1020132025325 is a wasteful number, since it uses less digits than its factorization.

1020132025325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16363 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 1020132025325 its reverse (5235202310201), we get a palindrome (6255334335526).

The spelling of 1020132025325 in words is "one trillion, twenty billion, one hundred thirty-two million, twenty-five thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 175 245 305 427 887 1225 1525 2135 2989 4435 6209 10675 14945 15391 22175 31045 43463 54107 74725 76955 107737 155225 217315 270535 378749 384775 538685 754159 938851 1086575 1352675 1893745 2651243 2693425 3770795 4694255 6571957 9468725 13256215 13651817 18853975 23471275 32859785 46003699 66281075 68259085 95562719 164298925 230018495 341295425 477813595 668939033 832760837 1150092475 2389067975 3344695165 4163804185 5829325859 16723475825 20819020925 29146629295 40805281013 145733146475 204026405065 1020132025325