1220558625 has 192 divisors, whose sum is σ = 2690198784. Its totient is φ = 544320000.

The previous prime is 1220558609. The next prime is 1220558693. The reversal of 1220558625 is 5268550221.

It is a happy number.

1220558625 is a `hidden beast` number, since 1 + 2 + 20 + 5 + 5 + 8 + 625 = 666.

It is not a de Polignac number, because 1220558625 - 2⁴ = 1220558609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220558625.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4343485 + ... + 4343765.

It is an arithmetic number, because the mean of its divisors is an integer number (14011452).

Almost surely, 2^1220558625 is an apocalyptic number.

1220558625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220558625 is an abundant number, since it is smaller than the sum of its proper divisors (1469640159).

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

1220558625 is a wasteful number, since it uses less digits than its factorization.

1220558625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1220558625 is about 34936.4941715679. The cubic root of 1220558625 is about 1068.6927947221.

The spelling of 1220558625 in words is "one billion, two hundred twenty million, five hundred fifty-eight thousand, six hundred twenty-five".