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1253530415521 is a prime number
BaseRepresentation
bin10010001111011100001…
…111000011000110100001
311102211120200121222020201
4102033130033003012201
5131014212241244041
62355510335105201
7156364436504266
oct22173417030641
94384520558221
101253530415521
1144368a27061a
12182b38972201
13912908b31a7
1444957a9326d
1522919499631
hex123dc3c31a1

1253530415521 has 2 divisors, whose sum is σ = 1253530415522. Its totient is φ = 1253530415520.

The previous prime is 1253530415483. The next prime is 1253530415531. The reversal of 1253530415521 is 1255140353521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 941986713600 + 311543701921 = 970560^2 + 558161^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253530415521 - 213 = 1253530407329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1253530415531) 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, 626765207760 + 626765207761.

It is an arithmetic number, because the mean of its divisors is an integer number (626765207761).

Almost surely, 21253530415521 is an apocalyptic number.

It is an amenable number.

1253530415521 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253530415521 is an equidigital number, since it uses as much as digits as its factorization.

1253530415521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 1253530415521 in words is "one trillion, two hundred fifty-three billion, five hundred thirty million, four hundred fifteen thousand, five hundred twenty-one".