542605001812601 has 64 divisors (see below), whose sum is σ = 684995967452160. Its totient is φ = 418417254927360.

The previous prime is 542605001812589. The next prime is 542605001812631. The reversal of 542605001812601 is 106218100506245.

It is not a de Polignac number, because 542605001812601 - 2⁶ = 542605001812537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542605001812631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312003875 + ... + 313738151.

It is an arithmetic number, because the mean of its divisors is an integer number (10703061991440).

Almost surely, 2^{542605001812601} is an apocalyptic number.

It is an amenable number.

542605001812601 is a deficient number, since it is larger than the sum of its proper divisors (142390965639559).

542605001812601 is a wasteful number, since it uses less digits than its factorization.

542605001812601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734874.

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 542605001812601 in words is "five hundred forty-two trillion, six hundred five billion, one million, eight hundred twelve thousand, six hundred one".