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83575207488225 = 3525337529560239
BaseRepresentation
bin10011000000001011011110…
…100011011110101011100001
3101221220201012220111021002110
4103000023132203132223201
541423244011104110400
6453425530440505533
723414052360264135
oct2300133643365341
9357821186437073
1083575207488225
11246a205690a362
129459527a7b2a9
133783153a928bb
14168d0c11593c5
1599deb2660e50
hex4c02de8deae1

83575207488225 has 48 divisors (see below), whose sum is σ = 140788805011200. Its totient is φ = 43731192261120.

The previous prime is 83575207488197. The next prime is 83575207488229. The reversal of 83575207488225 is 52288470257538.

It is not a de Polignac number, because 83575207488225 - 214 = 83575207471841 is a prime.

It is a super-2 number, since 2×835752074882252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83575207488229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148897656 + ... + 149457894.

It is an arithmetic number, because the mean of its divisors is an integer number (2933100104400).

Almost surely, 283575207488225 is an apocalyptic number.

It is an amenable number.

83575207488225 is a deficient number, since it is larger than the sum of its proper divisors (57213597522975).

83575207488225 is a wasteful number, since it uses less digits than its factorization.

83575207488225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597834 (or 597829 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 66.

The spelling of 83575207488225 in words is "eighty-three trillion, five hundred seventy-five billion, two hundred seven million, four hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 159 265 795 1325 3975 37529 112587 187645 560239 562935 938225 1680717 1989037 2801195 2814675 5967111 8403585 9945185 14005975 29692667 29835555 42017925 49725925 89078001 148463335 149177775 445390005 742316675 2226950025 21025209431 63075628293 105126047155 315378141465 525630235775 1114336099843 1576890707325 3343008299529 5571680499215 16715041497645 27858402496075 83575207488225