56066510516001 has 16 divisors (see below), whose sum is σ = 79153560676800. Its totient is φ = 35178613680128.

The previous prime is 56066510515969. The next prime is 56066510516033. The reversal of 56066510516001 is 10061501566065.

It is an interprime number because it is at equal distance from previous prime (56066510515969) and next prime (56066510516033).

It is a cyclic number.

It is not a de Polignac number, because 56066510516001 - 2⁵ = 56066510515969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56066510516201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940011 + ... + 10630928.

It is an arithmetic number, because the mean of its divisors is an integer number (4947097542300).

Almost surely, 2^{56066510516001} is an apocalyptic number.

56066510516001 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56066510516001 is a deficient number, since it is larger than the sum of its proper divisors (23087050160799).

56066510516001 is a wasteful number, since it uses less digits than its factorization.

56066510516001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665968.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 56066510516001 in words is "fifty-six trillion, sixty-six billion, five hundred ten million, five hundred sixteen thousand, one".