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52649597025 = 345250992
BaseRepresentation
bin110001000010001010…
…010001100001100001
312000220020111122110000
4301002022101201201
51330311244101100
640104211330213
73542464122264
oct610212214141
9160806448400
1052649597025
1120368363563
12a2542b0969
134c7098980c
1427965a2cdb
1515822c0900
hexc42291861

52649597025 has 45 divisors (see below), whose sum is σ = 97544383651. Its totient is φ = 28074278160.

The previous prime is 52649596991. The next prime is 52649597029. The reversal of 52649597025 is 52079594625.

The square root of 52649597025 is 229455.

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

52649597025 is a `hidden beast` number, since 5 + 2 + 6 + 49 + 597 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18953854929 + 33695742096 = 137673^2 + 183564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 52649597025 - 221 = 52647499873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52649597029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10322926 + ... + 10328024.

Almost surely, 252649597025 is an apocalyptic number.

52649597025 is the 229455-th square number.

52649597025 is the 114728-th centered octagonal number.

It is an amenable number.

52649597025 is a deficient number, since it is larger than the sum of its proper divisors (44894786626).

52649597025 is an frugal number, since it uses more digits than its factorization.

52649597025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 52649597025 in words is "fifty-two billion, six hundred forty-nine million, five hundred ninety-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5099 15297 25495 45891 76485 127475 137673 229455 382425 413019 688365 1147275 2065095 3441825 10325475 25999801 77999403 129999005 233998209 389997015 649995025 701994627 1169991045 1949985075 2105983881 3509973135 5849955225 10529919405 17549865675 52649597025