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525011025 = 35271190911
BaseRepresentation
bin11111010010110…
…000100001010001
31100120220022201210
4133102300201101
52033400323100
6124032450333
716003343250
oct3722604121
91316808653
10525011025
1124a39a610
121279a99a9
1384a01316
144da26797
1531158c50
hex1f4b0851

525011025 has 48 divisors (see below), whose sum is σ = 1082216448. Its totient is φ = 218184000.

The previous prime is 525011023. The next prime is 525011033. The reversal of 525011025 is 520110525.

It is not a de Polignac number, because 525011025 - 21 = 525011023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

525011025 is a modest number, since divided by 11025 gives 525 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 525010992 and 525011010.

It is not an unprimeable number, because it can be changed into a prime (525011023) 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 47 ways as a sum of consecutive naturals, for example, 39681 + ... + 51230.

It is an arithmetic number, because the mean of its divisors is an integer number (22546176).

Almost surely, 2525011025 is an apocalyptic number.

525011025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525011025 is an abundant number, since it is smaller than the sum of its proper divisors (557205423).

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

525011025 is a wasteful number, since it uses less digits than its factorization.

525011025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90942 (or 90937 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 525011025 is about 22913.1190587401. The cubic root of 525011025 is about 806.7199699730.

Subtracting from 525011025 its product of nonzero digits (500), we obtain a palindrome (525010525).

The spelling of 525011025 in words is "five hundred twenty-five million, eleven thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 90911 272733 454555 636377 1000021 1363665 1909131 2272775 3000063 3181885 5000105 6818325 7000147 9545655 15000315 15909425 21000441 25000525 35000735 47728275 75001575 105002205 175003675 525011025