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531125010 = 2325133712269
BaseRepresentation
bin11111101010000…
…101001100010010
31101000101221112200
4133222011030102
52041432000020
6124411504030
716106326263
oct3752051422
91330357480
10531125010
11252896099
12129a58016
1386062170
145077896a
1531965590
hex1fa85312

531125010 has 96 divisors (see below), whose sum is σ = 1527467760. Its totient is φ = 127194624.

The previous prime is 531125009. The next prime is 531125027. The reversal of 531125010 is 10521135.

531125010 is a `hidden beast` number, since 53 + 112 + 501 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 386476281 + 144648729 = 19659^2 + 12027^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37156 + ... + 49424.

Almost surely, 2531125010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531125010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763733880).

531125010 is an abundant number, since it is smaller than the sum of its proper divisors (996342750).

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

531125010 is a wasteful number, since it uses less digits than its factorization.

531125010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12332 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 531125010 is about 23046.1495699390. The cubic root of 531125010 is about 809.8394286191.

Adding to 531125010 its reverse (10521135), we get a palindrome (541646145).

The spelling of 531125010 in words is "five hundred thirty-one million, one hundred twenty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 481 555 585 666 962 1110 1170 1443 1665 2405 2886 3330 4329 4810 7215 8658 12269 14430 21645 24538 36807 43290 61345 73614 110421 122690 159497 184035 220842 318994 368070 453953 478491 552105 797485 907906 956982 1104210 1361859 1435473 1594970 2269765 2392455 2723718 2870946 4085577 4539530 4784910 5901389 6809295 7177365 8171154 11802778 13618590 14354730 17704167 20427885 29506945 35408334 40855770 53112501 59013890 88520835 106225002 177041670 265562505 531125010