1022325232201 has 81 divisors (see below), whose sum is σ = 1324815222069. Its totient is φ = 786232137600.

The previous prime is 1022325232199. The next prime is 1022325232213.

The square root of 1022325232201 is 1011101.

It is a perfect power (a square), and thus also a powerful number.

1022325232201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 680946788025 + 341378444176 = 825195^2 + 584276^2 .

It is not a de Polignac number, because 1022325232201 - 2¹ = 1022325232199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022325232801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3772417696 + ... + 3772417966.

Almost surely, 2^{1022325232201} is an apocalyptic number.

1022325232201 is the 1011101-st square number.

1022325232201 is the 505551-st centered octagonal number.

It is an amenable number.

1022325232201 is a deficient number, since it is larger than the sum of its proper divisors (302489989868).

1022325232201 is an frugal number, since it uses more digits than its factorization.

1022325232201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 1022325232201 by its sum of digits (25), we get a square (25558130805025 = 5055505²).

The spelling of 1022325232201 in words is "one trillion, twenty-two billion, three hundred twenty-five million, two hundred thirty-two thousand, two hundred one".