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52561416525 = 3523718941051
BaseRepresentation
bin110000111100111001…
…111001000101001101
312000200002120121112120
4300330321321011031
51330121210312100
640051341323153
73540343445262
oct607471710515
9160602517476
1052561416525
1120322605212
12a22a8664b9
134c58623ac7
1427889ab269
1515796a30a0
hexc3ce7914d

52561416525 has 24 divisors (see below), whose sum is σ = 89250237024. Its totient is φ = 27275112000.

The previous prime is 52561416491. The next prime is 52561416539.

52561416525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52561416525 - 28 = 52561416269 is a prime.

It is a super-3 number, since 3×525614165253 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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, 9467751 + ... + 9473300.

It is an arithmetic number, because the mean of its divisors is an integer number (3718759876).

Almost surely, 252561416525 is an apocalyptic number.

It is an amenable number.

52561416525 is a deficient number, since it is larger than the sum of its proper divisors (36688820499).

52561416525 is a wasteful number, since it uses less digits than its factorization.

52561416525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941101 (or 18941096 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 52561416525 in words is "fifty-two billion, five hundred sixty-one million, four hundred sixteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 185 555 925 2775 18941051 56823153 94705255 284115765 473526275 700818887 1420578825 2102456661 3504094435 10512283305 17520472175 52561416525