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135352511525 = 5271170312993
BaseRepresentation
bin111111000001110100…
…0110110110000100101
3110221100221122000002102
41332003220312300211
54204200220332100
6142102522021445
712531106236140
oct1760350666045
9427327560072
10135352511525
1152447a67280
1222295347885
13c9c0a8880a
1467a02cd057
1537c2beccd5
hex1f83a36c25

135352511525 has 24 divisors (see below), whose sum is σ = 209251470144. Its totient is φ = 84375590400.

The previous prime is 135352511521. The next prime is 135352511551. The reversal of 135352511525 is 525115253531.

It is not a de Polignac number, because 135352511525 - 22 = 135352511521 is a prime.

It is a super-2 number, since 2×1353525115252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135352511521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35154572 + ... + 35158421.

It is an arithmetic number, because the mean of its divisors is an integer number (8718811256).

Almost surely, 2135352511525 is an apocalyptic number.

It is an amenable number.

135352511525 is a deficient number, since it is larger than the sum of its proper divisors (73898958619).

135352511525 is a wasteful number, since it uses less digits than its factorization.

135352511525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70313021 (or 70313016 counting only the distinct ones).

The product of its digits is 112500, while the sum is 38.

The spelling of 135352511525 in words is "one hundred thirty-five billion, three hundred fifty-two million, five hundred eleven thousand, five hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1925 70312993 351564965 492190951 773442923 1757824825 2460954755 3867214615 5414100461 12304773775 19336073075 27070502305 135352511525