Search a number
-
+
10035531521 is a prime number
BaseRepresentation
bin10010101100010101…
…00000111100000001
3221220101121211012122
421112022200330001
5131023044002041
64335452134025
7503455416251
oct112612407401
927811554178
1010035531521
11428a883404
121b40a67315
13c3c17b142
146b2b71961
153db07ac4b
hex2562a0f01

10035531521 has 2 divisors, whose sum is σ = 10035531522. Its totient is φ = 10035531520.

The previous prime is 10035531487. The next prime is 10035531547. The reversal of 10035531521 is 12513553001.

It is a happy number.

It is an a-pointer prime, because the next prime (10035531547) can be obtained adding 10035531521 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9893087296 + 142444225 = 99464^2 + 11935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035531521 - 210 = 10035530497 is a prime.

It is not a weakly prime, because it can be changed into another prime (10035531581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017765760 + 5017765761.

It is an arithmetic number, because the mean of its divisors is an integer number (5017765761).

Almost surely, 210035531521 is an apocalyptic number.

It is an amenable number.

10035531521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035531521 is an equidigital number, since it uses as much as digits as its factorization.

10035531521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 10035531521 in words is "ten billion, thirty-five million, five hundred thirty-one thousand, five hundred twenty-one".