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2575830825 = 325211539929
BaseRepresentation
bin1001100110001000…
…0000111100101001
320122111212202121200
42121202000330221
520233403041300
61103332554413
7120555125601
oct23142007451
96574782550
102575830825
111101a97907
125ba782a09
1332085cc69
141a614dc01
15101209200
hex99880f29

2575830825 has 36 divisors (see below), whose sum is σ = 4618065660. Its totient is φ = 1372446720.

The previous prime is 2575830799. The next prime is 2575830839. The reversal of 2575830825 is 5280385752.

It can be written as a sum of positive squares in 6 ways, for example, as 52577001 + 2523253824 = 7251^2 + 50232^2 .

It is not a de Polignac number, because 2575830825 - 210 = 2575829801 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254461 + ... + 264389.

Almost surely, 22575830825 is an apocalyptic number.

2575830825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2575830825 is a deficient number, since it is larger than the sum of its proper divisors (2042234835).

2575830825 is a wasteful number, since it uses less digits than its factorization.

2575830825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 11090 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 2575830825 is about 50752.6435272095. The cubic root of 2575830825 is about 1370.7947907440.

The spelling of 2575830825 in words is "two billion, five hundred seventy-five million, eight hundred thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1153 3459 5765 9929 10377 17295 28825 29787 49645 51885 86475 89361 148935 248225 259425 446805 744675 2234025 11448137 34344411 57240685 103033233 171722055 286203425 515166165 858610275 2575830825