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1013012325 = 355213101127
BaseRepresentation
bin111100011000010…
…101011101100101
32121121011100200000
4330120111131211
54033312343300
6244304211513
734050314463
oct7430253545
92547140600
101013012325
1147a901176
12243309b99
13131b44ba0
1498777833
155de01c00
hex3c615765

1013012325 has 144 divisors (see below), whose sum is σ = 2062534656. Its totient is φ = 489888000.

The previous prime is 1013012317. The next prime is 1013012333. The reversal of 1013012325 is 5232103101.

It is an interprime number because it is at equal distance from previous prime (1013012317) and next prime (1013012333).

It is not a de Polignac number, because 1013012325 - 23 = 1013012317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013012298 and 1013012307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7976412 + ... + 7976538.

Almost surely, 21013012325 is an apocalyptic number.

1013012325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013012325 is an abundant number, since it is smaller than the sum of its proper divisors (1049522331).

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

1013012325 is a wasteful number, since it uses less digits than its factorization.

1013012325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1013012325 is about 31827.8545459791. The cubic root of 1013012325 is about 1004.3187631012.

Adding to 1013012325 its reverse (5232103101), we get a palindrome (6245115426).

The spelling of 1013012325 in words is "one billion, thirteen million, twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 101 117 127 135 195 225 243 303 325 351 381 405 505 585 635 675 909 975 1053 1143 1215 1313 1515 1651 1755 1905 2025 2525 2727 2925 3159 3175 3429 3939 4545 4953 5265 5715 6075 6565 7575 8181 8255 8775 9525 10287 11817 12827 13635 14859 15795 17145 19695 22725 24543 24765 26325 28575 30861 32825 35451 38481 40905 41275 44577 51435 59085 64135 68175 74295 78975 85725 98475 106353 115443 122715 123825 133731 154305 166751 177255 192405 204525 222885 257175 295425 319059 320675 346329 371475 401193 500253 531765 577215 613575 668655 771525 833755 886275 962025 1038987 1114425 1500759 1595295 1731645 2005965 2501265 2658825 2886075 3116961 3343275 4168775 4502277 5194935 7503795 7976475 8658225 10029825 12506325 13506831 15584805 22511385 25974675 37518975 40520493 67534155 77924025 112556925 202602465 337670775 1013012325