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85015253505 = 35713173663661
BaseRepresentation
bin100111100101101001…
…1011101001000000001
322010102212012100102210
41033023103131020001
52343102401103010
6103015551532333
76066520505640
oct1171323351001
9263385170383
1085015253505
1133066992296
121458752a0a9
13802b1a4540
144186c8b357
152328939b20
hex13cb4dd201

85015253505 has 64 divisors (see below), whose sum is σ = 177262622208. Its totient is φ = 33764290560.

The previous prime is 85015253503. The next prime is 85015253509. The reversal of 85015253505 is 50535251058.

It is a happy number.

It is not a de Polignac number, because 85015253505 - 21 = 85015253503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85015253503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808626 + ... + 1855035.

It is an arithmetic number, because the mean of its divisors is an integer number (2769728472).

Almost surely, 285015253505 is an apocalyptic number.

85015253505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85015253505 is an abundant number, since it is smaller than the sum of its proper divisors (92247368703).

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

85015253505 is a wasteful number, since it uses less digits than its factorization.

85015253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663706.

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 85015253505 in words is "eighty-five billion, fifteen million, two hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 23205 3663661 10990983 18318305 25645627 47627593 54954915 62282237 76936881 128228135 142882779 186846711 238137965 311411185 333393151 384684405 435975659 714413895 809669081 934233555 1000179453 1307926977 1666965755 2179878295 2429007243 4048345405 5000897265 5667683567 6539634885 12145036215 17003050701 28338417835 85015253505