1020225345 has 64 divisors (see below), whose sum is σ = 1757306880. Its totient is φ = 504460800.

The previous prime is 1020225319. The next prime is 1020225391. The reversal of 1020225345 is 5435220201.

It is not a de Polignac number, because 1020225345 - 2¹² = 1020221249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124382 + ... + 1125288.

It is an arithmetic number, because the mean of its divisors is an integer number (27457920).

Almost surely, 2^1020225345 is an apocalyptic number.

1020225345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020225345 is a deficient number, since it is larger than the sum of its proper divisors (737081535).

1020225345 is a wasteful number, since it uses less digits than its factorization.

1020225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1020225345 is about 31940.9665633337. The cubic root of 1020225345 is about 1006.6968339692.

Adding to 1020225345 its reverse (5435220201), we get a palindrome (6455445546).

The spelling of 1020225345 in words is "one billion, twenty million, two hundred twenty-five thousand, three hundred forty-five".