15641295312001 has 2 divisors, whose sum is σ = 15641295312002. Its totient is φ = 15641295312000.

The previous prime is 15641295311947. The next prime is 15641295312037. The reversal of 15641295312001 is 10021359214651.

15641295312001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9997131006976 + 5644164305025 = 3161824^2 + 2375745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-15641295312001 is a prime.

It is not a weakly prime, because it can be changed into another prime (15641295313001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7820647656000 + 7820647656001.

It is an arithmetic number, because the mean of its divisors is an integer number (7820647656001).

Almost surely, 2^{15641295312001} is an apocalyptic number.

It is an amenable number.

15641295312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

15641295312001 is an equidigital number, since it uses as much as digits as its factorization.

15641295312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 15641295312001 in words is "fifteen trillion, six hundred forty-one billion, two hundred ninety-five million, three hundred twelve thousand, one".