1023205642601 has 8 divisors (see below), whose sum is σ = 1024550797824. Its totient is φ = 1021861310400.

The previous prime is 1023205642531. The next prime is 1023205642633. The reversal of 1023205642601 is 1062465023201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023205642601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023205642661) 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 in 7 ways as a sum of consecutive naturals, for example, 2302376 + ... + 2710598.

It is an arithmetic number, because the mean of its divisors is an integer number (128068849728).

Almost surely, 2^{1023205642601} is an apocalyptic number.

It is an amenable number.

1023205642601 is a deficient number, since it is larger than the sum of its proper divisors (1345155223).

1023205642601 is a wasteful number, since it uses less digits than its factorization.

1023205642601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411511.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 1023205642601 in words is "one trillion, twenty-three billion, two hundred five million, six hundred forty-two thousand, six hundred one".