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2578085825 = 52783177493
BaseRepresentation
bin1001100110101010…
…0111011111000001
320122200010022220012
42121222213133001
520234442221300
61103453154305
7120613240130
oct23152473701
96580108805
102578085825
111103298047
125bb48b995
1332116c493
141a6579917
15101502435
hex99aa77c1

2578085825 has 24 divisors (see below), whose sum is σ = 3697555008. Its totient is φ = 1746521280.

The previous prime is 2578085821. The next prime is 2578085833. The reversal of 2578085825 is 5285808752.

It is not a de Polignac number, because 2578085825 - 22 = 2578085821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2578085821) 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 23 ways as a sum of consecutive naturals, for example, 74222 + ... + 103271.

It is an arithmetic number, because the mean of its divisors is an integer number (154064792).

Almost surely, 22578085825 is an apocalyptic number.

2578085825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2578085825 is a deficient number, since it is larger than the sum of its proper divisors (1119469183).

2578085825 is a wasteful number, since it uses less digits than its factorization.

2578085825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177593 (or 177588 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 50.

The square root of 2578085825 is about 50774.8542587766. The cubic root of 2578085825 is about 1371.1946928674.

The spelling of 2578085825 in words is "two billion, five hundred seventy-eight million, eighty-five thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 83 175 415 581 2075 2905 14525 177493 887465 1242451 4437325 6212255 14731919 31061275 73659595 103123433 368297975 515617165 2578085825