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10545528125 = 551121672
BaseRepresentation
bin10011101001000111…
…11111110100111101
31000012221021100000202
421310203333310331
5133044123400000
64502231133245
7522220336646
oct116443776475
930187240022
1010545528125
114521748400
122063814225
13cc0a23392
147207aa6cd
1541ac1add5
hex2748ffd3d

10545528125 has 54 divisors (see below), whose sum is σ = 14575555386. Its totient is φ = 7623550000.

The previous prime is 10545528121. The next prime is 10545528157. The reversal of 10545528125 is 52182554501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4872877636 + 5672650489 = 69806^2 + 75317^2 .

It is not a de Polignac number, because 10545528125 - 22 = 10545528121 is a prime.

It is a super-2 number, since 2×105455281252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545528121) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 63146792 + ... + 63146958.

Almost surely, 210545528125 is an apocalyptic number.

It is an amenable number.

10545528125 is a deficient number, since it is larger than the sum of its proper divisors (4030027261).

10545528125 is an frugal number, since it uses more digits than its factorization.

10545528125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 38.

The spelling of 10545528125 in words is "ten billion, five hundred forty-five million, five hundred twenty-eight thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 167 275 605 625 835 1375 1837 3025 3125 4175 6875 9185 15125 20207 20875 27889 34375 45925 75625 101035 104375 139445 229625 306779 378125 505175 521875 697225 1148125 1533895 2525875 3374569 3486125 5740625 7669475 12629375 16872845 17430625 38347375 63146875 84364225 87153125 191736875 421821125 958684375 2109105625 10545528125