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57559207225 = 5213236912
BaseRepresentation
bin110101100110110010…
…111100110100111001
312111120101210200111211
4311212302330310321
51420340124112400
642235313323121
74105241121532
oct654662746471
9174511720454
1057559207225
1122457743353
12b1a45664a1
135573b8ac00
142b00655689
15176d31edba
hexd66cbcd39

57559207225 has 27 divisors (see below), whose sum is σ = 77306952429. Its totient is φ = 42493744800.

The previous prime is 57559207219. The next prime is 57559207231. The reversal of 57559207225 is 52270295575.

It is a happy number.

The square root of 57559207225 is 239915.

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

It is an interprime number because it is at equal distance from previous prime (57559207219) and next prime (57559207231).

It can be written as a sum of positive squares in 4 ways, for example, as 14835970809 + 42723236416 = 121803^2 + 206696^2 .

It is not a de Polignac number, because 57559207225 - 215 = 57559174457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15592630 + ... + 15596320.

Almost surely, 257559207225 is an apocalyptic number.

57559207225 is the 239915-th square number.

57559207225 is the 119958-th centered octagonal number.

It is an amenable number.

57559207225 is a deficient number, since it is larger than the sum of its proper divisors (19747745204).

57559207225 is an frugal number, since it uses more digits than its factorization.

57559207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 49.

Multiplying 57559207225 by its sum of digits (49), we get a square (2820401154025 = 16794052).

The spelling of 57559207225 in words is "fifty-seven billion, five hundred fifty-nine million, two hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 3691 4225 18455 47983 92275 239915 623779 1199575 3118895 13623481 15594475 68117405 177105253 340587025 885526265 2302368289 4427631325 11511841445 57559207225