1027368225 has 192 divisors, whose sum is σ = 2204858880. Its totient is φ = 464486400.

The previous prime is 1027368217. The next prime is 1027368227. The reversal of 1027368225 is 5228637201.

1027368225 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 1027368225 - 2³ = 1027368217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1027368225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027368227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10591377 + ... + 10591473.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2^1027368225 is an apocalyptic number.

1027368225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1027368225 is an abundant number, since it is smaller than the sum of its proper divisors (1177490655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1027368225 is a wasteful number, since it uses less digits than its factorization.

1027368225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1027368225 is about 32052.5853091447. The cubic root of 1027368225 is about 1009.0407600086.

The spelling of 1027368225 in words is "one billion, twenty-seven million, three hundred sixty-eight thousand, two hundred twenty-five".