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325315004525 = 5272736016053
BaseRepresentation
bin1001011101111100100…
…10010000100001101101
31011002200202120111112022
410232332102100201231
520312221120121100
6405240405315525
732334415625300
oct4567622204155
91132622514468
10325315004525
11115a68925945
125306b405ba5
13248a56b7624
1411a61286b37
1586ded55e85
hex4bbe49086d

325315004525 has 72 divisors (see below), whose sum is σ = 476548577064. Its totient is φ = 219614976000.

The previous prime is 325315004459. The next prime is 325315004537. The reversal of 325315004525 is 525400513523.

It can be written as a sum of positive squares in 12 ways, for example, as 94527962116 + 230787042409 = 307454^2 + 480403^2 .

It is not a de Polignac number, because 325315004525 - 228 = 325046569069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53741399 + ... + 53747451.

It is an arithmetic number, because the mean of its divisors is an integer number (6618730237).

Almost surely, 2325315004525 is an apocalyptic number.

325315004525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

325315004525 is a deficient number, since it is larger than the sum of its proper divisors (151233572539).

325315004525 is a wasteful number, since it uses less digits than its factorization.

325315004525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 325315004525 in words is "three hundred twenty-five billion, three hundred fifteen million, four thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 49 73 175 245 365 511 601 1225 1825 2555 3005 3577 4207 6053 12775 15025 17885 21035 29449 30265 42371 43873 89425 105175 147245 151325 211855 219365 296597 307111 441869 736225 1059275 1096825 1482985 1535555 2149777 2209345 3093083 3637853 7414925 7677775 10748885 11046725 15465415 18189265 21651581 25464971 53744425 77327075 90946325 108257905 127324855 178254797 265563269 541289525 636624275 891273985 1327816345 1858942883 4456369925 6639081725 9294714415 13012600181 46473572075 65063000905 325315004525