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1533213131 is a prime number
BaseRepresentation
bin101101101100010…
…1111100111001011
310221212000022000112
41123120233213023
511120000310011
6412050024535
752665045062
oct13330574713
93855008015
101533213131
1171750579a
1236957814b
131b5850908
141078ab1d9
158e90a58b
hex5b62f9cb

1533213131 has 2 divisors, whose sum is σ = 1533213132. Its totient is φ = 1533213130.

The previous prime is 1533213107. The next prime is 1533213133. The reversal of 1533213131 is 1313123351.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1533213131 - 230 = 459471307 is a prime.

It is a super-2 number, since 2×15332131312 = 4701485010141646322, which contains 22 as substring.

Together with 1533213133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1533213097 and 1533213106.

It is not a weakly prime, because it can be changed into another prime (1533213133) 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, 766606565 + 766606566.

It is an arithmetic number, because the mean of its divisors is an integer number (766606566).

Almost surely, 21533213131 is an apocalyptic number.

1533213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1533213131 is an equidigital number, since it uses as much as digits as its factorization.

1533213131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 1533213131 is about 39156.2655395021. The cubic root of 1533213131 is about 1153.1014281318.

Adding to 1533213131 its reverse (1313123351), we get a palindrome (2846336482).

It can be divided in two parts, 1533213 and 131, that multiplied together give a triangular number (200850903 = T20042).

The spelling of 1533213131 in words is "one billion, five hundred thirty-three million, two hundred thirteen thousand, one hundred thirty-one".