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697316853025 = 521322924432
BaseRepresentation
bin10100010010110110101…
…00101100010100100001
32110122220012200102001001
422021123110230110201
542411101103244100
61252202024112001
7101244106311412
oct12113324542441
92418805612031
10697316853025
11249804203661
12b318a005601
13509ab604400
1425a70c1b809
1513213750d6a
hexa25b52c521

697316853025 has 81 divisors (see below), whose sum is σ = 971896107819. Its totient is φ = 496062752640.

The previous prime is 697316852963. The next prime is 697316853031. The reversal of 697316853025 is 520358613796.

The square root of 697316853025 is 835055.

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 645064379281 + 52252473744 = 803159^2 + 228588^2 .

It is not a de Polignac number, because 697316853025 - 235 = 662957114657 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 1574078454 + ... + 1574078896.

Almost surely, 2697316853025 is an apocalyptic number.

697316853025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

697316853025 is the 835055-th square number.

697316853025 is the 417528-th centered octagonal number.

It is an amenable number.

697316853025 is a deficient number, since it is larger than the sum of its proper divisors (274579254794).

697316853025 is an equidigital number, since it uses as much as digits as its factorization.

697316853025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 697316853025 in words is "six hundred ninety-seven billion, three hundred sixteen million, eight hundred fifty-three thousand, twenty-five".

Divisors: 1 5 13 25 29 65 145 169 325 377 443 725 841 845 1885 2215 4205 4225 4901 5759 9425 10933 11075 12847 21025 24505 28795 54665 64235 74867 122525 142129 143975 167011 196249 273325 321175 372563 374335 710645 835055 981245 1862815 1871675 2171143 2551237 3553225 4175275 4843319 4906225 5691221 9314075 10855715 12756185 24216595 28456105 33166081 54278575 62963147 63780925 73985873 121082975 142280525 165045409 165830405 314815735 369929365 825227045 829152025 961816349 1574078675 1849646825 2145590317 4126135225 4809081745 10727951585 24045408725 27892674121 53639757925 139463370605 697316853025