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55852516525 = 52136116371721
BaseRepresentation
bin110100000001000100…
…011100010010101101
312100011110100211000011
4310001010130102231
51403341221012100
641354105133221
74015035362101
oct640104342255
9170143324004
1055852516525
1121761320373
12a9a8a8a211
13536140b160
1429bbb0b901
1516bd598bba
hexd0111c4ad

55852516525 has 48 divisors (see below), whose sum is σ = 75897673488. Its totient is φ = 40520448000.

The previous prime is 55852516523. The next prime is 55852516553. The reversal of 55852516525 is 52561525855.

It can be written as a sum of positive squares in 24 ways, for example, as 55785243721 + 67272804 = 236189^2 + 8202^2 .

It is not a de Polignac number, because 55852516525 - 21 = 55852516523 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55852516523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32452665 + ... + 32454385.

It is an arithmetic number, because the mean of its divisors is an integer number (1581201531).

Almost surely, 255852516525 is an apocalyptic number.

It is an amenable number.

55852516525 is a deficient number, since it is larger than the sum of its proper divisors (20045156963).

55852516525 is a wasteful number, since it uses less digits than its factorization.

55852516525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3437 counting only the distinct ones).

The product of its digits is 3000000, while the sum is 49.

The spelling of 55852516525 in words is "fifty-five billion, eight hundred fifty-two million, five hundred sixteen thousand, five hundred twenty-five".

Divisors: 1 5 13 25 61 65 305 325 793 1525 1637 1721 3965 8185 8605 19825 21281 22373 40925 43025 99857 104981 106405 111865 499285 524905 532025 559325 1298141 1364753 2496425 2624525 2817277 6490705 6823765 14086385 32453525 34118825 36624601 70431925 171853897 183123005 859269485 915615025 2234100661 4296347425 11170503305 55852516525