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52500525 = 3527119091
BaseRepresentation
bin1100100001000…
…1100000101101
310122210022011220
43020101200231
5101420004100
65113133553
71205150520
oct310214055
9118708156
1052500525
11276a9470
12156ba2b9
13ab525cc
146d88bb7
154920aa0
hex321182d

52500525 has 48 divisors (see below), whose sum is σ = 108231168. Its totient is φ = 21816000.

The previous prime is 52500523. The next prime is 52500529.

52500525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52500525 - 21 = 52500523 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52500495 and 52500504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52500523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230 + ... + 10320.

It is an arithmetic number, because the mean of its divisors is an integer number (2254816).

Almost surely, 252500525 is an apocalyptic number.

52500525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52500525 is an abundant number, since it is smaller than the sum of its proper divisors (55730643).

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

52500525 is a wasteful number, since it uses less digits than its factorization.

52500525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 52500525 is about 7245.7246014460. The cubic root of 52500525 is about 374.4448675022. Note that the first 3 decimals are identical.

It can be divided in two parts, 52500 and 525, that multiplied together give a square (27562500 = 52502).

The spelling of 52500525 in words is "fifty-two million, five hundred thousand, five hundred 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 9091 27273 45455 63637 100001 136365 190911 227275 300003 318185 500005 681825 700007 954555 1500015 1590925 2100021 2500025 3500035 4772775 7500075 10500105 17500175 52500525