36106513 has 2 divisors, whose sum is σ = 36106514. Its totient is φ = 36106512.

The previous prime is 36106489. The next prime is 36106519. The reversal of 36106513 is 31560163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33443089 + 2663424 = 5783^2 + 1632^2 .

It is a cyclic number.

It is not a de Polignac number, because 36106513 - 2⁹ = 36106001 is a prime.

It is not a weakly prime, because it can be changed into another prime (36106519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18053256 + 18053257.

It is an arithmetic number, because the mean of its divisors is an integer number (18053257).

Almost surely, 2^36106513 is an apocalyptic number.

It is an amenable number.

36106513 is a deficient number, since it is larger than the sum of its proper divisors (1).

36106513 is an equidigital number, since it uses as much as digits as its factorization.

36106513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 36106513 is about 6008.8695276233. The cubic root of 36106513 is about 330.5180507138.

Adding to 36106513 its reverse (31560163), we get a palindrome (67666676).

The spelling of 36106513 in words is "thirty-six million, one hundred six thousand, five hundred thirteen".