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535275140625 = 325619512
BaseRepresentation
bin1111100101000001110…
…00100111011000010001
31220011122020121112011100
413302200320213120101
532232220414000000
61045522455535013
753446421424051
oct7624070473021
91804566545140
10535275140625
11197010953785
12878a668a469
133b626377354
141bc9c0b1561
15ddcc911a00
hex7ca0e27611

535275140625 has 63 divisors (see below), whose sum is σ = 966952251759. Its totient is φ = 285333750000.

The previous prime is 535275140597. The next prime is 535275140657. The reversal of 535275140625 is 526041572535.

It is a happy number.

The square root of 535275140625 is 731625.

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

535275140625 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 7 + 5 + 14 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 468952409601 + 66322731024 = 684801^2 + 257532^2 .

It is not a de Polignac number, because 535275140625 - 25 = 535275140593 is a prime.

It is a super-2 number, since 2×5352751406252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 274358400 + ... + 274360350.

Almost surely, 2535275140625 is an apocalyptic number.

535275140625 is the 731625-th square number.

535275140625 is the 365813-rd centered octagonal number.

It is an amenable number.

535275140625 is a deficient number, since it is larger than the sum of its proper divisors (431677111134).

535275140625 is an frugal number, since it uses more digits than its factorization.

535275140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 535275140625 in words is "five hundred thirty-five billion, two hundred seventy-five million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 1951 3125 5625 5853 9375 9755 15625 17559 28125 29265 46875 48775 87795 140625 146325 243875 438975 731625 1219375 2194875 3658125 3806401 6096875 10974375 11419203 18290625 19032005 30484375 34257609 54871875 57096015 91453125 95160025 171288045 274359375 285480075 475800125 856440225 1427400375 2379000625 4282201125 7137001875 11895003125 21411005625 35685009375 59475015625 107055028125 178425046875 535275140625