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4131275625 = 32548572
BaseRepresentation
bin1111011000111110…
…0100001101101001
3101122220201112202100
43312033210031221
531430101310000
61521535324013
7204243156231
oct36617441551
911586645670
104131275625
11182aaa7584
12973680609
1350ab959b9
142b2966cc1
15192a56a00
hexf63e4369

4131275625 has 45 divisors (see below), whose sum is σ = 7465571971. Its totient is φ = 2200776000.

The previous prime is 4131275597. The next prime is 4131275647. The reversal of 4131275625 is 5265721314.

The square root of 4131275625 is 64275.

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

4131275625 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 27 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1157972841 + 2973302784 = 34029^2 + 54528^2 .

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

It is not a de Polignac number, because 4131275625 - 213 = 4131267433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4131275625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4820197 + ... + 4821053.

Almost surely, 24131275625 is an apocalyptic number.

4131275625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4131275625 is the 64275-th square number.

4131275625 is the 32138-th centered octagonal number.

It is an amenable number.

4131275625 is a deficient number, since it is larger than the sum of its proper divisors (3334296346).

4131275625 is an frugal number, since it uses more digits than its factorization.

4131275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 865 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The cubic root of 4131275625 is about 1604.5800572509.

Multiplying 4131275625 by its sum of digits (36), we get a square (148725922500 = 3856502).

Adding to 4131275625 its reverse (5265721314), we get a palindrome (9396996939).

The spelling of 4131275625 in words is "four billion, one hundred thirty-one million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 857 1125 1875 2571 4285 5625 7713 12855 21425 38565 64275 107125 192825 321375 535625 734449 964125 1606875 2203347 3672245 4820625 6610041 11016735 18361225 33050205 55083675 91806125 165251025 275418375 459030625 826255125 1377091875 4131275625