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33130525 = 5210113121
BaseRepresentation
bin111111001100…
…0100000011101
32022100012112111
41332120200131
531440134100
63142034021
7551414311
oct176304035
968305474
1033130525
11177794aa
12b118911
136b2cb7c
144585b41
152d966ba
hex1f9881d

33130525 has 12 divisors (see below), whose sum is σ = 41491764. Its totient is φ = 26240000.

The previous prime is 33130523. The next prime is 33130541. The reversal of 33130525 is 52503133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 79524 + 33051001 = 282^2 + 5749^2 .

It is not a de Polignac number, because 33130525 - 21 = 33130523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33130496 and 33130505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4036 + ... + 9085.

It is an arithmetic number, because the mean of its divisors is an integer number (3457647).

Almost surely, 233130525 is an apocalyptic number.

It is an amenable number.

33130525 is a deficient number, since it is larger than the sum of its proper divisors (8361239).

33130525 is a wasteful number, since it uses less digits than its factorization.

33130525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13232 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 33130525 is about 5755.9121779263. The cubic root of 33130525 is about 321.1757690076.

Adding to 33130525 its reverse (52503133), we get a palindrome (85633658).

The spelling of 33130525 in words is "thirty-three million, one hundred thirty thousand, five hundred twenty-five".

Divisors: 1 5 25 101 505 2525 13121 65605 328025 1325221 6626105 33130525