36730564121 has 2 divisors, whose sum is σ = 36730564122. Its totient is φ = 36730564120.

The previous prime is 36730564103. The next prime is 36730564139. The reversal of 36730564121 is 12146503763.

It is a balanced prime because it is at equal distance from previous prime (36730564103) and next prime (36730564139).

It can be written as a sum of positive squares in only one way, i.e., 22584078400 + 14146485721 = 150280^2 + 118939^2 .

It is a cyclic number.

It is not a de Polignac number, because 36730564121 - 2¹⁰ = 36730563097 is a prime.

It is not a weakly prime, because it can be changed into another prime (36730564151) 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, 18365282060 + 18365282061.

It is an arithmetic number, because the mean of its divisors is an integer number (18365282061).

Almost surely, 2^36730564121 is an apocalyptic number.

It is an amenable number.

36730564121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36730564121 is an equidigital number, since it uses as much as digits as its factorization.

36730564121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 36730564121 in words is "thirty-six billion, seven hundred thirty million, five hundred sixty-four thousand, one hundred twenty-one".