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153532505513 is a prime number
BaseRepresentation
bin1000111011111101000…
…0000001110110101001
3112200021221111101110002
42032333100001312221
510003413310134023
6154310514232345
714043451523102
oct2167720016651
9480257441402
10153532505513
115a1271078a2
12259098856b5
131162a38a2ca
1476069b13a9
153ed8cacb28
hex23bf401da9

153532505513 has 2 divisors, whose sum is σ = 153532505514. Its totient is φ = 153532505512.

The previous prime is 153532505479. The next prime is 153532505527. The reversal of 153532505513 is 315505235351.

153532505513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136749821209 + 16782684304 = 369797^2 + 129548^2 .

It is a cyclic number.

It is not a de Polignac number, because 153532505513 - 28 = 153532505257 is a prime.

It is not a weakly prime, because it can be changed into another prime (153532505593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76766252756 + 76766252757.

It is an arithmetic number, because the mean of its divisors is an integer number (76766252757).

Almost surely, 2153532505513 is an apocalyptic number.

It is an amenable number.

153532505513 is a deficient number, since it is larger than the sum of its proper divisors (1).

153532505513 is an equidigital number, since it uses as much as digits as its factorization.

153532505513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168750, while the sum is 38.

The spelling of 153532505513 in words is "one hundred fifty-three billion, five hundred thirty-two million, five hundred five thousand, five hundred thirteen".