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52152625125 = 32531012771657
BaseRepresentation
bin110000100100100010…
…011110011111100101
311222121121100212011100
4300210202132133211
51323302033001000
635543015430313
73524250666516
oct604442363745
9158547325140
1052152625125
1120132885187
12a135985399
134bc1a24ac3
14274a598a0d
151553854a00
hexc2489e7e5

52152625125 has 96 divisors (see below), whose sum is σ = 95344894944. Its totient is φ = 27423360000.

The previous prime is 52152625111. The next prime is 52152625139.

52152625125 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 2 + 625 + 1 + 25 = 666.

52152625125 is nontrivially palindromic in base 10.

52152625125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52152625111) and next prime (52152625139).

It can be written as a sum of positive squares in 16 ways, for example, as 35815184001 + 16337441124 = 189249^2 + 127818^2 .

It is not a de Polignac number, because 52152625125 - 25 = 52152625093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52152625125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31473297 + ... + 31474953.

It is an arithmetic number, because the mean of its divisors is an integer number (993175989).

Almost surely, 252152625125 is an apocalyptic number.

It is an amenable number.

52152625125 is a deficient number, since it is larger than the sum of its proper divisors (43192269819).

52152625125 is a wasteful number, since it uses less digits than its factorization.

52152625125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2043 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 52152625125 in words is "fifty-two billion, one hundred fifty-two million, six hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 225 277 303 375 505 831 909 1125 1385 1515 1657 2493 2525 4155 4545 4971 6925 7575 8285 12465 12625 14913 20775 22725 24855 27977 34625 37875 41425 62325 74565 83931 103875 113625 124275 139885 167357 207125 251793 311625 372825 419655 458989 502071 621375 699425 836785 1258965 1376967 1506213 1864125 2098275 2294945 2510355 3497125 4130901 4183925 6294825 6884835 7531065 10491375 11474725 12551775 20654505 20919625 31474125 34424175 37655325 46357889 57373625 62758875 103272525 139073667 172120875 188276625 231789445 417221001 516362625 695368335 1158947225 2086105005 3476841675 5794736125 10430525025 17384208375 52152625125