2213607825 has 384 divisors, whose sum is σ = 5399654400. Its totient is φ = 870912000.

The previous prime is 2213607821. The next prime is 2213607827. The reversal of 2213607825 is 5287063122.

2213607825 is a `hidden beast` number, since 2 + 21 + 3 + 607 + 8 + 25 = 666.

2213607825 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 2213607825 - 2² = 2213607821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2213607825.

It is not an unprimeable number, because it can be changed into a prime (2213607821) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31177540 + ... + 31177610.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^2213607825 is an apocalyptic number.

2213607825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2213607825 is an abundant number, since it is smaller than the sum of its proper divisors (3186046575).

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

2213607825 is a wasteful number, since it uses less digits than its factorization.

2213607825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

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

The square root of 2213607825 is about 47048.9938787218. The cubic root of 2213607825 is about 1303.2674855844.

The spelling of 2213607825 in words is "two billion, two hundred thirteen million, six hundred seven thousand, eight hundred twenty-five".