36557905001 has 2 divisors, whose sum is σ = 36557905002. Its totient is φ = 36557905000.

The previous prime is 36557904973. The next prime is 36557905003. The reversal of 36557905001 is 10050975563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31940838400 + 4617066601 = 178720^2 + 67949^2 .

It is a cyclic number.

It is not a de Polignac number, because 36557905001 - 2³⁰ = 35484163177 is a prime.

Together with 36557905003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36557905001.

It is not a weakly prime, because it can be changed into another prime (36557905003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18278952500 + 18278952501.

It is an arithmetic number, because the mean of its divisors is an integer number (18278952501).

Almost surely, 2^36557905001 is an apocalyptic number.

It is an amenable number.

36557905001 is a deficient number, since it is larger than the sum of its proper divisors (1).

36557905001 is an equidigital number, since it uses as much as digits as its factorization.

36557905001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141750, while the sum is 41.

The spelling of 36557905001 in words is "thirty-six billion, five hundred fifty-seven million, nine hundred five thousand, one".