1023663201 has 32 divisors (see below), whose sum is σ = 1532911488. Its totient is φ = 602173440.

The previous prime is 1023663197. The next prime is 1023663229.

It is a happy number.

1023663201 is nontrivially palindromic in base 10.

1023663201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023663201 - 2² = 1023663197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023663241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703791 + ... + 705243.

It is an arithmetic number, because the mean of its divisors is an integer number (47903484).

Almost surely, 2^1023663201 is an apocalyptic number.

1023663201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023663201 is a deficient number, since it is larger than the sum of its proper divisors (509248287).

1023663201 is a wasteful number, since it uses less digits than its factorization.

1023663201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1023663201 is about 31994.7370828391. The cubic root of 1023663201 is about 1007.8263225511.

It can be divided in two parts, 10236 and 63201, that added together give a palindrome (73437).

The spelling of 1023663201 in words is "one billion, twenty-three million, six hundred sixty-three thousand, two hundred one".