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52707435561 = 361127732
BaseRepresentation
bin110001000101100110…
…111010010000101001
312001001021100011000000
4301011212322100221
51330421100414221
640114035133213
73544065544614
oct610546722051
9161037304000
1052707435561
1120397a78500
12a26b744209
134c7c95a9c1
1427a013b17b
1515873e7e26
hexc459ba429

52707435561 has 63 divisors (see below), whose sum is σ = 86974708807. Its totient is φ = 31902575760.

The previous prime is 52707435541. The next prime is 52707435563. The reversal of 52707435561 is 16553470725.

It is a happy number.

The square root of 52707435561 is 229581.

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

52707435561 is a `hidden beast` number, since 5 + 27 + 0 + 74 + 3 + 556 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3354147225 + 49353288336 = 57915^2 + 222156^2 .

It is not a de Polignac number, because 52707435561 - 221 = 52705338409 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52707435563) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 68185171 + ... + 68185943.

Almost surely, 252707435561 is an apocalyptic number.

52707435561 is the 229581-st square number.

52707435561 is the 114791-st centered octagonal number.

It is an amenable number.

52707435561 is a deficient number, since it is larger than the sum of its proper divisors (34267273246).

52707435561 is an frugal number, since it uses more digits than its factorization.

52707435561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 52707435561 in words is "fifty-two billion, seven hundred seven million, four hundred thirty-five thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 773 891 1089 2319 2673 3267 6957 8019 8503 9801 20871 25509 29403 62613 76527 88209 93533 187839 229581 280599 563517 597529 688743 841797 1792587 2066229 2525391 5377761 6198687 6572819 7576173 16133283 19718457 22728519 48399849 59155371 68185557 72301009 145199547 177466113 216903027 435598641 532398339 650709081 1597195017 1952127243 4791585051 5856381729 17569145187 52707435561