164245625200901 has 2 divisors, whose sum is σ = 164245625200902. Its totient is φ = 164245625200900.

The previous prime is 164245625200897. The next prime is 164245625200963. The reversal of 164245625200901 is 109002526542461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146285396522500 + 17960228678401 = 12094850^2 + 4237951^2 .

It is a cyclic number.

It is not a de Polignac number, because 164245625200901 - 2² = 164245625200897 is a prime.

It is a super-2 number, since 2×164245625200901² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164245625230901) 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, 82122812600450 + 82122812600451.

It is an arithmetic number, because the mean of its divisors is an integer number (82122812600451).

Almost surely, 2^{164245625200901} is an apocalyptic number.

It is an amenable number.

164245625200901 is a deficient number, since it is larger than the sum of its proper divisors (1).

164245625200901 is an equidigital number, since it uses as much as digits as its factorization.

164245625200901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 164245625200901 in words is "one hundred sixty-four trillion, two hundred forty-five billion, six hundred twenty-five million, two hundred thousand, nine hundred one".