2154335625 has 120 divisors (see below), whose sum is σ = 4436536104. Its totient is φ = 997632000.

The previous prime is 2154335587. The next prime is 2154335639. The reversal of 2154335625 is 5265334512.

2154335625 is a `hidden beast` number, since 21 + 5 + 4 + 3 + 3 + 5 + 625 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2151939321 + 2396304 = 46389^2 + 1548^2 .

It is not a de Polignac number, because 2154335625 - 2⁷ = 2154335497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2154335625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1242259 + ... + 1243991.

Almost surely, 2^2154335625 is an apocalyptic number.

2154335625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2154335625 is an abundant number, since it is smaller than the sum of its proper divisors (2282200479).

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

2154335625 is a wasteful number, since it uses less digits than its factorization.

2154335625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1771 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2154335625 is about 46414.8211781539. The cubic root of 2154335625 is about 1291.5298687360.

The spelling of 2154335625 in words is "two billion, one hundred fifty-four million, three hundred thirty-five thousand, six hundred twenty-five".