56025541284001 has 2 divisors, whose sum is σ = 56025541284002. Its totient is φ = 56025541284000.

The previous prime is 56025541283963. The next prime is 56025541284007. The reversal of 56025541284001 is 10048214552065.

56025541284001 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., 28550373995025 + 27475167288976 = 5343255^2 + 5241676^2 .

It is a cyclic number.

It is not a de Polignac number, because 56025541284001 - 2²¹ = 56025539186849 is a prime.

It is a super-2 number, since 2×56025541284001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (56025541284007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28012770642000 + 28012770642001.

It is an arithmetic number, because the mean of its divisors is an integer number (28012770642001).

Almost surely, 2^{56025541284001} is an apocalyptic number.

It is an amenable number.

56025541284001 is a deficient number, since it is larger than the sum of its proper divisors (1).

56025541284001 is an equidigital number, since it uses as much as digits as its factorization.

56025541284001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 56025541284001 in words is "fifty-six trillion, twenty-five billion, five hundred forty-one million, two hundred eighty-four thousand, one".