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538014915025 = 527219211032
BaseRepresentation
bin1111101010001000011…
…00000001100111010001
31220102201011222111002021
413311010030001213101
532303323304240100
61051054410451441
753604340215400
oct7650414014721
91812634874067
10538014915025
11198197436845
1288330133b81
133b971b78a33
141c07bcd9637
15dedd201a1a
hex7d443019d1

538014915025 has 81 divisors (see below), whose sum is σ = 819797269851. Its totient is φ = 349190563680.

The previous prime is 538014915007. The next prime is 538014915049. The reversal of 538014915025 is 520519410835.

The square root of 538014915025 is 733495.

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

It can be written as a sum of positive squares in only one way, i.e., 193685369409 + 344329545616 = 440097^2 + 586796^2 .

It is not a de Polignac number, because 538014915025 - 27 = 538014914897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 487773624 + ... + 487774726.

Almost surely, 2538014915025 is an apocalyptic number.

538014915025 is the 733495-th square number.

538014915025 is the 366748-th centered octagonal number.

It is an amenable number.

538014915025 is a deficient number, since it is larger than the sum of its proper divisors (281782354826).

538014915025 is an equidigital number, since it uses as much as digits as its factorization.

538014915025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 538014915025 in words is "five hundred thirty-eight billion, fourteen million, nine hundred fifteen thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1103 1225 1805 2527 3325 4655 5515 7721 9025 12635 17689 20957 23275 27575 38605 54047 63175 88445 104785 146699 193025 270235 398183 442225 523925 733495 1026893 1216609 1351175 1990915 2787281 3667475 5134465 6083045 8516263 9954575 13936405 19510967 23115571 25672325 30415225 42581315 59613841 69682025 97554835 115577855 161808997 212906575 298069205 439195849 487774175 577889275 809044985 1132662979 1490346025 2195979245 3074370943 4045224925 5663314895 10979896225 15371854715 21520596601 28316574475 76859273575 107602983005 538014915025