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525202525 = 52101208001
BaseRepresentation
bin11111010011011…
…111010001011101
31100121021001102101
4133103133101131
52033422440100
6124040525101
716005101461
oct3723372135
91317231371
10525202525
1124a510481
12127a80791
1384a6a533
144da764a1
153119586a
hex1f4df45d

525202525 has 12 divisors (see below), whose sum is σ = 657702324. Its totient is φ = 416000000.

The previous prime is 525202511. The next prime is 525202537.

525202525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 67798756 + 457403769 = 8234^2 + 21387^2 .

It is not a de Polignac number, because 525202525 - 27 = 525202397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 525202493 and 525202502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101476 + ... + 106525.

It is an arithmetic number, because the mean of its divisors is an integer number (54808527).

Almost surely, 2525202525 is an apocalyptic number.

It is an amenable number.

525202525 is a deficient number, since it is larger than the sum of its proper divisors (132499799).

525202525 is a wasteful number, since it uses less digits than its factorization.

525202525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208112 (or 208107 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 525202525 is about 22917.2975064688. The cubic root of 525202525 is about 806.8180428943.

Adding to 525202525 its product of nonzero digits (10000), we get a palindrome (525212525).

The spelling of 525202525 in words is "five hundred twenty-five million, two hundred two thousand, five hundred twenty-five".

Divisors: 1 5 25 101 505 2525 208001 1040005 5200025 21008101 105040505 525202525