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36052515625 = 5674312
BaseRepresentation
bin100001100100111001…
…011011101100101001
310110001120011112221111
4201210321123230221
51042313421000000
624321242310321
72414262220000
oct414471335451
9113046145844
1036052515625
1114320783665
126ba1ab83a1
1335272ba2a9
141a60207c37
15e10186cba
hex864e5bb29

36052515625 has 105 divisors (see below), whose sum is σ = 54323386683. Its totient is φ = 23924250000.

The previous prime is 36052515619. The next prime is 36052515649. The reversal of 36052515625 is 52651525063.

It is a happy number.

The square root of 36052515625 is 189875.

It is a perfect power (a square), and thus also a powerful number.

36052515625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31585464729 + 4467050896 = 177723^2 + 66836^2 .

It is not a de Polignac number, because 36052515625 - 27 = 36052515497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1162984360 + ... + 1162984390.

Almost surely, 236052515625 is an apocalyptic number.

36052515625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36052515625 is the 189875-th square number.

36052515625 is the 94938-th centered octagonal number.

It is an amenable number.

36052515625 is a deficient number, since it is larger than the sum of its proper divisors (18270871058).

36052515625 is an frugal number, since it uses more digits than its factorization.

36052515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 36052515625 in words is "thirty-six billion, fifty-two million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 125 155 175 217 245 343 625 775 875 961 1085 1225 1519 1715 2401 3125 3875 4375 4805 5425 6125 6727 7595 8575 10633 12005 15625 19375 21875 24025 27125 30625 33635 37975 42875 47089 53165 60025 74431 96875 109375 120125 135625 153125 168175 189875 214375 235445 265825 300125 329623 372155 484375 600625 678125 765625 840875 949375 1071875 1177225 1329125 1500625 1648115 1860775 2307361 3003125 3390625 4204375 4746875 5359375 5886125 6645625 7503125 8240575 9303875 11536805 15015625 21021875 23734375 29430625 33228125 37515625 41202875 46519375 57684025 105109375 147153125 166140625 206014375 232596875 288420125 735765625 1030071875 1162984375 1442100625 5150359375 7210503125 36052515625