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1315137525 = 3521341167197
BaseRepresentation
bin100111001100011…
…0110011111110101
310101122122220112020
41032120312133311
510143133400100
6334255543353
744406325122
oct11630663765
93348586466
101315137525
116153a7319
1230852ab59
1317c6080b0
14c6941749
157a6d05a0
hex4e6367f5

1315137525 has 96 divisors (see below), whose sum is σ = 2425344768. Its totient is φ = 624691200.

The previous prime is 1315137517. The next prime is 1315137529. The reversal of 1315137525 is 5257315131.

It is not a de Polignac number, because 1315137525 - 23 = 1315137517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315137529) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6675727 + ... + 6675923.

It is an arithmetic number, because the mean of its divisors is an integer number (25264008).

Almost surely, 21315137525 is an apocalyptic number.

1315137525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1315137525 is a deficient number, since it is larger than the sum of its proper divisors (1110207243).

1315137525 is a wasteful number, since it uses less digits than its factorization.

1315137525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its digits is 15750, while the sum is 33.

The square root of 1315137525 is about 36264.8248996186. The cubic root of 1315137525 is about 1095.6126968688.

The spelling of 1315137525 in words is "one billion, three hundred fifteen million, one hundred thirty-seven thousand, five hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 41 65 75 123 167 195 197 205 325 501 533 591 615 835 975 985 1025 1599 2171 2505 2561 2665 2955 3075 4175 4925 6513 6847 7683 7995 8077 10855 12525 12805 13325 14775 20541 24231 32565 32899 34235 38415 39975 40385 54275 64025 89011 98697 102705 105001 121155 162825 164495 171175 192075 201925 267033 315003 427687 445055 493485 513525 525005 605775 822475 1283061 1335165 1348859 1575015 2138435 2225275 2467425 2625025 4046577 6415305 6675825 6744295 7875075 10692175 17535167 20232885 32076525 33721475 52605501 87675835 101164425 263027505 438379175 1315137525