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2536785225 = 325213978941
BaseRepresentation
bin1001011100110100…
…0100010101001001
320112210102001010100
42113031010111021
520143404111400
61055420040013
7116602214202
oct22715042511
96483361110
102536785225
111091a49317
125a9693009
1331573b960
141a0ca85a9
15eca95100
hex97344549

2536785225 has 72 divisors (see below), whose sum is σ = 4944174872. Its totient is φ = 1235865600.

The previous prime is 2536785193. The next prime is 2536785233. The reversal of 2536785225 is 5225876352.

2536785225 is a `hidden beast` number, since 2 + 53 + 6 + 78 + 522 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 989228304 + 1547556921 = 31452^2 + 39339^2 .

It is not a de Polignac number, because 2536785225 - 25 = 2536785193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279255 + ... + 288195.

Almost surely, 22536785225 is an apocalyptic number.

2536785225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2536785225 is a deficient number, since it is larger than the sum of its proper divisors (2407389647).

2536785225 is a wasteful number, since it uses less digits than its factorization.

2536785225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9059 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2536785225 is about 50366.5089618091. The cubic root of 2536785225 is about 1363.8331210330.

It can be divided in two parts, 25367 and 85225, that added together give a cube (110592 = 483).

The spelling of 2536785225 in words is "two billion, five hundred thirty-six million, seven hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 97 117 195 225 291 325 485 585 873 975 1261 1455 2425 2925 3783 4365 6305 7275 8941 11349 18915 21825 26823 31525 44705 56745 80469 94575 116233 134115 223525 283725 348699 402345 581165 670575 867277 1046097 1743495 2011725 2601831 2905825 4336385 5230485 7805493 8717475 11274601 13009155 21681925 26152425 33823803 39027465 56373005 65045775 101471409 169119015 195137325 281865025 507357045 845595075 2536785225