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2505042531 = 3517619941
BaseRepresentation
bin1001010101001111…
…1110101001100011
320110120200100100000
42111103332221203
520112242330111
61052323431043
7116035336665
oct22523765143
96416610300
102505042531
111076038592
1259ab25483
1330bca66b4
1419a9a4535
15e9dc4c56
hex954fea63

2505042531 has 48 divisors (see below), whose sum is σ = 4038679008. Its totient is φ = 1545868800.

The previous prime is 2505042467. The next prime is 2505042541. The reversal of 2505042531 is 1352405052.

It is a happy number.

It is not a de Polignac number, because 2505042531 - 26 = 2505042467 is a prime.

It is a super-2 number, since 2×25050425312 = 12550476164237771922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2505042495 and 2505042504.

It is not an unprimeable number, because it can be changed into a prime (2505042541) 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, 247021 + ... + 256961.

It is an arithmetic number, because the mean of its divisors is an integer number (84139146).

Almost surely, 22505042531 is an apocalyptic number.

2505042531 is a deficient number, since it is larger than the sum of its proper divisors (1533636477).

2505042531 is an equidigital number, since it uses as much as digits as its factorization.

2505042531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2505042531 is about 50050.3999084922. The cubic root of 2505042531 is about 1358.1206978064.

Adding to 2505042531 its reverse (1352405052), we get a palindrome (3857447583).

The spelling of 2505042531 in words is "two billion, five hundred five million, forty-two thousand, five hundred thirty-one".

Divisors: 1 3 9 17 27 51 61 81 153 183 243 459 549 1037 1377 1647 3111 4131 4941 9333 9941 14823 27999 29823 83997 89469 168997 251991 268407 506991 606401 805221 1520973 1819203 2415663 4562919 5457609 10308817 13688757 16372827 30926451 41066271 49118481 92779353 147355443 278338059 835014177 2505042531