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1125125625 = 35413311489
BaseRepresentation
bin100001100010000…
…0000110111111001
32220102010022012110
41003010000313321
54301013010000
6303351202533
736611260431
oct10304006771
92812108173
101125125625
11528116598
12274976449
1314c13a110
14a95dd2c1
1568b9a850
hex43100df9

1125125625 has 80 divisors (see below), whose sum is σ = 2085332480. Its totient is φ = 535680000.

The previous prime is 1125125597. The next prime is 1125125627. The reversal of 1125125625 is 5265215211.

It is not a de Polignac number, because 1125125625 - 27 = 1125125497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1125125592 and 1125125601.

It is not an unprimeable number, because it can be changed into a prime (1125125627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 754881 + ... + 756369.

It is an arithmetic number, because the mean of its divisors is an integer number (26066656).

Almost surely, 21125125625 is an apocalyptic number.

1125125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1125125625 is a deficient number, since it is larger than the sum of its proper divisors (960206855).

1125125625 is a wasteful number, since it uses less digits than its factorization.

1125125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1541 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 1125125625 is about 33542.8923171512. The cubic root of 1125125625 is about 1040.0806227562.

It can be divided in two parts, 1125125 and 625, that added together give a triangular number (1125750 = T1500).

The spelling of 1125125625 in words is "one billion, one hundred twenty-five million, one hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 13 15 25 31 39 65 75 93 125 155 195 325 375 403 465 625 775 975 1209 1489 1625 1875 2015 2325 3875 4467 4875 6045 7445 8125 10075 11625 19357 19375 22335 24375 30225 37225 46159 50375 58071 58125 96785 111675 138477 151125 186125 230795 251875 290355 483925 558375 600067 692385 755625 930625 1153975 1451775 1800201 2419625 2791875 3000335 3461925 5769875 7258875 9001005 12098125 15001675 17309625 28849375 36294375 45005025 75008375 86548125 225025125 375041875 1125125625