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2561061330 = 232589319733
BaseRepresentation
bin1001100010100110…
…1011000111010010
320121111002101200100
42120221223013102
520221112430310
61102044233230
7120315443052
oct23051530722
96544071610
102561061330
1110a471a313
125b583b816
1331a78b509
141a41c7562
15eec8cec0
hex98a6b1d2

2561061330 has 48 divisors (see below), whose sum is σ = 6733598040. Its totient is φ = 675273984.

The previous prime is 2561061329. The next prime is 2561061331. The reversal of 2561061330 is 331601652.

2561061330 is a `hidden beast` number, since 2 + 5 + 6 + 10 + 613 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (2561061329) and next prime (2561061331).

It can be written as a sum of positive squares in 4 ways, for example, as 2082370689 + 478690641 = 45633^2 + 21879^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2561061294 and 2561061303.

It is not an unprimeable number, because it can be changed into a prime (2561061331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151857 + ... + 167876.

Almost surely, 22561061330 is an apocalyptic number.

2561061330 is an abundant number, since it is smaller than the sum of its proper divisors (4172536710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561061330 is a wasteful number, since it uses less digits than its factorization.

2561061330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319835 (or 319832 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2561061330 is about 50606.9296638316. The cubic root of 2561061330 is about 1368.1697779693.

Adding to 2561061330 its reverse (331601652), we get a palindrome (2892662982).

The spelling of 2561061330 in words is "two billion, five hundred sixty-one million, sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 319733 639466 959199 1598665 1918398 2877597 3197330 4795995 5755194 9591990 14387985 28456237 28775970 56912474 85368711 142281185 170737422 256106133 284562370 426843555 512212266 853687110 1280530665 2561061330