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5531640625 = 5872172
BaseRepresentation
bin1010010011011011…
…00010001100110001
3112021111202110101201
411021231202030301
542312100000000
62312522131201
7254036112100
oct51155421461
915244673351
105531640625
112389515525
1210a4650b01
136a2041644
143a6932037
1522596e96a
hex149b62331

5531640625 has 81 divisors (see below), whose sum is σ = 8544429219. Its totient is φ = 3570000000.

The previous prime is 5531640571. The next prime is 5531640629. The reversal of 5531640625 is 5260461355.

The square root of 5531640625 is 74375.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1333637361 + 4198003264 = 36519^2 + 64792^2 .

It is not a de Polignac number, because 5531640625 - 29 = 5531640113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5531640629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 325390617 + ... + 325390633.

Almost surely, 25531640625 is an apocalyptic number.

5531640625 is the 74375-th square number.

5531640625 is the 37188-th centered octagonal number.

It is an amenable number.

5531640625 is a deficient number, since it is larger than the sum of its proper divisors (3012788594).

5531640625 is an frugal number, since it uses more digits than its factorization.

5531640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The cubic root of 5531640625 is about 1768.5526194109.

The spelling of 5531640625 in words is "five billion, five hundred thirty-one million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 289 425 595 625 833 875 1225 1445 2023 2125 2975 3125 4165 4375 6125 7225 10115 10625 14161 14875 15625 20825 21875 30625 36125 50575 53125 70805 74375 78125 104125 109375 153125 180625 252875 265625 354025 371875 390625 520625 546875 765625 903125 1264375 1328125 1770125 1859375 2603125 2734375 3828125 4515625 6321875 6640625 8850625 9296875 13015625 19140625 22578125 31609375 44253125 46484375 65078125 112890625 158046875 221265625 325390625 790234375 1106328125 5531640625