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13020525 = 3252721181
BaseRepresentation
bin110001101010…
…110101101101
3220111111210200
4301222311231
511313124100
61143024113
7215446500
oct61526555
926444720
1013020525
117393571
12443b039
13290b66b
141a2d137
151222e00
hexc6ad6d

13020525 has 54 divisors (see below), whose sum is σ = 27151722. Its totient is φ = 5947200.

The previous prime is 13020523. The next prime is 13020541. The reversal of 13020525 is 52502031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2965284 + 10055241 = 1722^2 + 3171^2 .

It is not a de Polignac number, because 13020525 - 21 = 13020523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13020498 and 13020507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020523) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10435 + ... + 11615.

Almost surely, 213020525 is an apocalyptic number.

13020525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13020525 is an abundant number, since it is smaller than the sum of its proper divisors (14131197).

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

13020525 is a wasteful number, since it uses less digits than its factorization.

13020525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13020525 is about 3608.3964582623. The cubic root of 13020525 is about 235.2571502278.

Adding to 13020525 its reverse (52502031), we get a palindrome (65522556).

The spelling of 13020525 in words is "thirteen million, twenty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1181 1225 1575 2205 3543 3675 5905 8267 10629 11025 17715 24801 29525 41335 53145 57869 74403 88575 124005 173607 206675 265725 289345 372015 520821 620025 868035 1446725 1860075 2604105 4340175 13020525