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2665140625 = 5672592
BaseRepresentation
bin1001111011011010…
…1101000110010001
320212201221011122001
42132312231012101
520424234000000
61120243114001
7123021215200
oct23666550621
96781834561
102665140625
111148447664
12624672901
133361cc9b4
141b3d5b237
15108e9b46a
hex9edad191

2665140625 has 63 divisors (see below), whose sum is σ = 3942078447. Its totient is φ = 1796550000.

The previous prime is 2665140623. The next prime is 2665140679. The reversal of 2665140625 is 5260415662.

The square root of 2665140625 is 51625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2334919041 + 330221584 = 48321^2 + 18172^2 .

It is not a de Polignac number, because 2665140625 - 21 = 2665140623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2665140623) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 45171846 + ... + 45171904.

Almost surely, 22665140625 is an apocalyptic number.

2665140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2665140625 is the 51625-th square number.

2665140625 is the 25813-rd centered octagonal number.

It is an amenable number.

2665140625 is a deficient number, since it is larger than the sum of its proper divisors (1276937822).

2665140625 is an frugal number, since it uses more digits than its factorization.

2665140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 2665140625 is about 1386.4579736771.

It can be divided in two parts, 26651 and 40625, that added together give a palindrome (67276).

The spelling of 2665140625 in words is "two billion, six hundred sixty-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 125 175 245 295 413 625 875 1225 1475 2065 2891 3125 3481 4375 6125 7375 10325 14455 15625 17405 21875 24367 30625 36875 51625 72275 87025 109375 121835 153125 170569 184375 258125 361375 435125 609175 765625 852845 921875 1290625 1806875 2175625 3045875 4264225 6453125 9034375 10878125 15229375 21321125 45171875 54390625 76146875 106605625 380734375 533028125 2665140625