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506130125 = 5353241317
BaseRepresentation
bin11110001010101…
…110111011001101
31022021101002000012
4132022232323031
52014032131000
6122120043005
715354015014
oct3612567315
91267332005
10506130125
1123a774066
12121603465
1380b203a7
144b30da7b
152e679735
hex1e2aeecd

506130125 has 32 divisors (see below), whose sum is σ = 648277344. Its totient is φ = 394368000.

The previous prime is 506130091. The next prime is 506130133. The reversal of 506130125 is 521031605.

It can be written as a sum of positive squares in 16 ways, for example, as 369754441 + 136375684 = 19229^2 + 11678^2 .

It is not a de Polignac number, because 506130125 - 212 = 506126029 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506130125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596467 + ... + 1596783.

It is an arithmetic number, because the mean of its divisors is an integer number (20258667).

Almost surely, 2506130125 is an apocalyptic number.

It is an amenable number.

506130125 is a deficient number, since it is larger than the sum of its proper divisors (142147219).

506130125 is a wasteful number, since it uses less digits than its factorization.

506130125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 506130125 is about 22497.3359533968. The cubic root of 506130125 is about 796.9310151576.

The spelling of 506130125 in words is "five hundred six million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 25 53 125 241 265 317 1205 1325 1585 6025 6625 7925 12773 16801 30125 39625 63865 76397 84005 319325 381985 420025 1596625 1909925 2100125 4049041 9549625 20245205 101226025 506130125