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36032253137 is a prime number
BaseRepresentation
bin100001100011101100…
…001000110011010001
310110000011001010000222
4201203230020303101
51042243224100022
624315240122425
72413625045456
oct414354106321
9113004033028
1036032253137
11143102a4101
126b97166415
13352304455a
141a5b65182d
15e0d4d3242
hex863b08cd1

36032253137 has 2 divisors, whose sum is σ = 36032253138. Its totient is φ = 36032253136.

The previous prime is 36032253121. The next prime is 36032253167. The reversal of 36032253137 is 73135223063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20499366976 + 15532886161 = 143176^2 + 124631^2 .

It is a cyclic number.

It is not a de Polignac number, because 36032253137 - 24 = 36032253121 is a prime.

It is a super-2 number, since 2×360322531372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36032253097 and 36032253106.

It is not a weakly prime, because it can be changed into another prime (36032253107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18016126568 + 18016126569.

It is an arithmetic number, because the mean of its divisors is an integer number (18016126569).

Almost surely, 236032253137 is an apocalyptic number.

It is an amenable number.

36032253137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36032253137 is an equidigital number, since it uses as much as digits as its factorization.

36032253137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 35.

The spelling of 36032253137 in words is "thirty-six billion, thirty-two million, two hundred fifty-three thousand, one hundred thirty-seven".