1627305225 has 72 divisors (see below), whose sum is σ = 3329733312. Its totient is φ = 686649600.

The previous prime is 1627305191. The next prime is 1627305257. The reversal of 1627305225 is 5225037261.

1627305225 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1627305225 - 2⁸ = 1627304969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79555 + ... + 97895.

It is an arithmetic number, because the mean of its divisors is an integer number (46246296).

Almost surely, 2^1627305225 is an apocalyptic number.

1627305225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1627305225 is an abundant number, since it is smaller than the sum of its proper divisors (1702428087).

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

1627305225 is a wasteful number, since it uses less digits than its factorization.

1627305225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18387 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1627305225 is about 40339.8714053478. The cubic root of 1627305225 is about 1176.2230150828.

The spelling of 1627305225 in words is "one billion, six hundred twenty-seven million, three hundred five thousand, two hundred twenty-five".