56541507392801 has 2 divisors, whose sum is σ = 56541507392802. Its totient is φ = 56541507392800.

The previous prime is 56541507392627. The next prime is 56541507392857. The reversal of 56541507392801 is 10829370514565.

It is an a-pointer prime, because the next prime (56541507392857) can be obtained adding 56541507392801 to its sum of digits (56).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30603632523025 + 25937874869776 = 5532055^2 + 5092924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56541507392801 is a prime.

It is a super-4 number, since 4×56541507392801⁴ (a number of 56 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (56541507392101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28270753696400 + 28270753696401.

It is an arithmetic number, because the mean of its divisors is an integer number (28270753696401).

It is a 1-persistent number, because it is pandigital, but 2⋅56541507392801 = 113083014785602 is not.

Almost surely, 2^{56541507392801} is an apocalyptic number.

It is an amenable number.

56541507392801 is a deficient number, since it is larger than the sum of its proper divisors (1).

56541507392801 is an equidigital number, since it uses as much as digits as its factorization.

56541507392801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 56541507392801 in words is "fifty-six trillion, five hundred forty-one billion, five hundred seven million, three hundred ninety-two thousand, eight hundred one".