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756525025 = 5255012
BaseRepresentation
bin101101000101111…
…010011111100001
31221201112110020101
4231011322133201
53022132300100
6203022542401
724514233214
oct5505723741
91851473211
10756525025
113590474a3
12191437a01
13c0970759
147268d77b
154663a86a
hex2d17a7e1

756525025 has 9 divisors (see below), whose sum is σ = 938261593. Its totient is φ = 605110000.

The previous prime is 756524981. The next prime is 756525037. The reversal of 756525025 is 520525657.

It is a happy number.

The square root of 756525025 is 27505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 179372449 + 577152576 = 13393^2 + 24024^2 .

It is not a de Polignac number, because 756525025 - 213 = 756516833 is a prime.

It is a super-2 number, since 2×7565250252 = 1144660226902501250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134775 + ... + 140275.

Almost surely, 2756525025 is an apocalyptic number.

756525025 is the 27505-th square number.

756525025 is the 13753-rd centered octagonal number.

It is an amenable number.

756525025 is a deficient number, since it is larger than the sum of its proper divisors (181736568).

756525025 is an frugal number, since it uses more digits than its factorization.

756525025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The cubic root of 756525025 is about 911.1875270392.

The spelling of 756525025 in words is "seven hundred fifty-six million, five hundred twenty-five thousand, twenty-five".

Divisors: 1 5 25 5501 27505 137525 30261001 151305005 756525025