1020221325 has 60 divisors (see below), whose sum is σ = 1902432180. Its totient is φ = 540483840.

The previous prime is 1020221299. The next prime is 1020221347. The reversal of 1020221325 is 5231220201.

It can be written as a sum of positive squares in 6 ways, for example, as 47155689 + 973065636 = 6867^2 + 31194^2 .

It is not a de Polignac number, because 1020221325 - 2¹⁰ = 1020220301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020221298 and 1020221307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316321 + ... + 319529.

It is an arithmetic number, because the mean of its divisors is an integer number (31707203).

Almost surely, 2^1020221325 is an apocalyptic number.

1020221325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020221325 is a deficient number, since it is larger than the sum of its proper divisors (882210855).

1020221325 is a wasteful number, since it uses less digits than its factorization.

1020221325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1020221325 is about 31940.9036346813. The cubic root of 1020221325 is about 1006.6955117363.

Adding to 1020221325 its reverse (5231220201), we get a palindrome (6251441526).

The spelling of 1020221325 in words is "one billion, twenty million, two hundred twenty-one thousand, three hundred twenty-five".