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318507853225 = 5241227532
BaseRepresentation
bin1001010001010001000…
…11000010010110101001
31010110010100201101102111
410220220203002112221
520204301002300400
6402153120402321
732003631040162
oct4505043022651
91113110641374
10318507853225
1111309541a371
125188b7763a1
132405c333953
14115b71aa769
1584424323ba
hex4a288c25a9

318507853225 has 27 divisors (see below), whose sum is σ = 404964707119. Its totient is φ = 248501196800.

The previous prime is 318507853219. The next prime is 318507853229. The reversal of 318507853225 is 522358705813.

The square root of 318507853225 is 564365.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 217793022489 + 100714830736 = 466683^2 + 317356^2 .

It is not a de Polignac number, because 318507853225 - 25 = 318507853193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (318507853229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115693449 + ... + 115696201.

Almost surely, 2318507853225 is an apocalyptic number.

318507853225 is the 564365-th square number.

318507853225 is the 282183-rd centered octagonal number.

It is an amenable number.

318507853225 is a deficient number, since it is larger than the sum of its proper divisors (86456853894).

318507853225 is an frugal number, since it uses more digits than its factorization.

318507853225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 318507853225 by its sum of digits (49), we get a square (15606884808025 = 39505552).

The spelling of 318507853225 in words is "three hundred eighteen billion, five hundred seven million, eight hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 2753 8405 13765 42025 68825 112873 564365 2821825 4627793 7579009 23138965 37895045 115694825 189475225 310739369 1553696845 7768484225 12740314129 63701570645 318507853225