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2352735025 = 528921092
BaseRepresentation
bin1000110000111011…
…1110001100110001
320001222002022201021
42030032332030301
514304300010100
61025243135441
7112205626534
oct21416761461
96058068637
102352735025
11aa806a713
12557b14581
132b657a404
14184678a1b
15db83ba1a
hex8c3be331

2352735025 has 27 divisors (see below), whose sum is σ = 2977856931. Its totient is φ = 1843966080.

The previous prime is 2352735001. The next prime is 2352735029. The reversal of 2352735025 is 5205372532.

The square root of 2352735025 is 48505.

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

2352735025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1783626289 + 569108736 = 42233^2 + 23856^2 .

It is not a de Polignac number, because 2352735025 - 27 = 2352734897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2352735029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21584671 + ... + 21584779.

Almost surely, 22352735025 is an apocalyptic number.

2352735025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2352735025 is the 48505-th square number.

2352735025 is the 24253-rd centered octagonal number.

It is an amenable number.

2352735025 is a deficient number, since it is larger than the sum of its proper divisors (625121906).

2352735025 is an frugal number, since it uses more digits than its factorization.

2352735025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 34.

The cubic root of 2352735025 is about 1330.0184716752.

The spelling of 2352735025 in words is "two billion, three hundred fifty-two million, seven hundred thirty-five thousand, twenty-five".

Divisors: 1 5 25 89 109 445 545 2225 2725 7921 9701 11881 39605 48505 59405 198025 242525 297025 863389 1057409 4316945 5287045 21584725 26435225 94109401 470547005 2352735025