36906831429301 has 2 divisors, whose sum is σ = 36906831429302. Its totient is φ = 36906831429300.

The previous prime is 36906831429271. The next prime is 36906831429313. The reversal of 36906831429301 is 10392413860963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25792675665201 + 11114155764100 = 5078649^2 + 3333790^2 .

It is a cyclic number.

It is not a de Polignac number, because 36906831429301 - 2⁵ = 36906831429269 is a prime.

It is a super-2 number, since 2×36906831429301² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36906831429341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18453415714650 + 18453415714651.

It is an arithmetic number, because the mean of its divisors is an integer number (18453415714651).

Almost surely, 2^{36906831429301} is an apocalyptic number.

It is an amenable number.

36906831429301 is a deficient number, since it is larger than the sum of its proper divisors (1).

36906831429301 is an equidigital number, since it uses as much as digits as its factorization.

36906831429301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 36906831429301 in words is "thirty-six trillion, nine hundred six billion, eight hundred thirty-one million, four hundred twenty-nine thousand, three hundred one".