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52652625625 = 541012413461
BaseRepresentation
bin110001000010010101…
…110100111011011001
312000220110012111220101
4301002111310323121
51330313033010000
640104400255401
73542531635105
oct610225647331
9160813174811
1052652625625
112036a041a36
12a255311561
134c714aa1a2
142796b50905
1515826bce6a
hexc42574ed9

52652625625 has 40 divisors (see below), whose sum is σ = 66741142248. Its totient is φ = 41520000000.

The previous prime is 52652625611. The next prime is 52652625631.

52652625625 is nontrivially palindromic in base 10.

52652625625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 45705736521 + 6946889104 = 213789^2 + 83348^2 .

It is not a de Polignac number, because 52652625625 - 221 = 52650528473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15211395 + ... + 15214855.

Almost surely, 252652625625 is an apocalyptic number.

It is an amenable number.

52652625625 is a deficient number, since it is larger than the sum of its proper divisors (14088516623).

52652625625 is a wasteful number, since it uses less digits than its factorization.

52652625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3808 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 46.

The spelling of 52652625625 in words is "fifty-two billion, six hundred fifty-two million, six hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 101 125 241 505 625 1205 2525 3461 6025 12625 17305 24341 30125 63125 86525 121705 150625 349561 432625 608525 834101 1747805 2163125 3042625 4170505 8739025 15213125 20852525 43695125 84244201 104262625 218475625 421221005 521313125 2106105025 10530525125 52652625625