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528060825 = 3252191011223
BaseRepresentation
bin11111011110011…
…001000110011001
31100210122021021100
4133132121012121
52040140421300
6124222102013
716041304635
oct3736310631
91323567240
10528060825
11251092a06
12128a1a909
138552b536
14501bbdc5
153155c700
hex1f799199

528060825 has 72 divisors (see below), whose sum is σ = 1006274880. Its totient is φ = 263952000.

The previous prime is 528060821. The next prime is 528060829.

528060825 is a `hidden beast` number, since 5 + 28 + 0 + 608 + 25 = 666.

528060825 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (528060821) and next prime (528060829).

It is not a de Polignac number, because 528060825 - 22 = 528060821 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 528060825.

It is not an unprimeable number, because it can be changed into a prime (528060821) 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 71 ways as a sum of consecutive naturals, for example, 431164 + ... + 432386.

It is an arithmetic number, because the mean of its divisors is an integer number (13976040).

Almost surely, 2528060825 is an apocalyptic number.

It is an amenable number.

528060825 is a deficient number, since it is larger than the sum of its proper divisors (478214055).

528060825 is a wasteful number, since it uses less digits than its factorization.

528060825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 528060825 is about 22979.5740822148. The cubic root of 528060825 is about 808.2790393499.

The spelling of 528060825 in words is "five hundred twenty-eight million, sixty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 101 171 225 285 303 475 505 855 909 1223 1425 1515 1919 2525 3669 4275 4545 5757 6115 7575 9595 11007 17271 18345 22725 23237 28785 30575 47975 55035 69711 86355 91725 116185 123523 143925 209133 275175 348555 370569 431775 580925 617615 1045665 1111707 1742775 1852845 2346937 3088075 5228325 5558535 7040811 9264225 11734685 21122433 27792675 35204055 58673425 105612165 176020275 528060825