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130956525 = 32527176773
BaseRepresentation
bin1111100111000…
…11110011101101
3100010102021120200
413303203303231
5232011102100
620554504113
73150053310
oct763436355
9303367520
10130956525
1167a15637
1237a35039
1321191c8b
141356c977
15b76be00
hex7ce3ced

130956525 has 144 divisors (see below), whose sum is σ = 292017024. Its totient is φ = 54743040.

The previous prime is 130956479. The next prime is 130956533. The reversal of 130956525 is 525659031.

It is not a de Polignac number, because 130956525 - 211 = 130954477 is a prime.

It is a super-2 number, since 2×1309565252 = 34299222880151250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130956525.

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, 1793889 + ... + 1793961.

It is an arithmetic number, because the mean of its divisors is an integer number (2027896).

Almost surely, 2130956525 is an apocalyptic number.

130956525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130956525 is an abundant number, since it is smaller than the sum of its proper divisors (161060499).

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

130956525 is a wasteful number, since it uses less digits than its factorization.

130956525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 130956525 is about 11443.6237704671. The cubic root of 130956525 is about 507.8191186987.

The spelling of 130956525 in words is "one hundred thirty million, nine hundred fifty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 67 73 75 85 105 119 153 175 201 219 225 255 315 335 357 365 425 469 511 525 595 603 657 765 1005 1071 1095 1139 1241 1275 1407 1533 1575 1675 1785 1825 2345 2555 2975 3015 3285 3417 3723 3825 4221 4599 4891 5025 5355 5475 5695 6205 7035 7665 7973 8687 8925 10251 11169 11725 12775 14673 15075 16425 17085 18615 21105 22995 23919 24455 26061 26775 28475 31025 34237 35175 38325 39865 43435 44019 51255 55845 71757 73365 78183 83147 85425 93075 102711 105525 114975 119595 122275 130305 171185 199325 217175 220095 249441 256275 279225 308133 358785 366825 390915 415735 513555 582029 597975 651525 748323 855925 1100475 1247205 1540665 1746087 1793925 1954575 2078675 2567775 2910145 3741615 5238261 6236025 7703325 8730435 14550725 18708075 26191305 43652175 130956525