2010408213825 has 96 divisors (see below), whose sum is σ = 4204110919680. Its totient is φ = 932363150400.

The previous prime is 2010408213817. The next prime is 2010408213841. The reversal of 2010408213825 is 5283128040102.

It is a happy number.

2010408213825 is a `hidden beast` number, since 2 + 0 + 10 + 408 + 213 + 8 + 25 = 666.

It is not a de Polignac number, because 2010408213825 - 2³ = 2010408213817 is a prime.

It is a super-2 number, since 2×2010408213825² (a number of 25 digits) contains 22 as substring.

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 2010408213825.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5715357 + ... + 6056906.

It is an arithmetic number, because the mean of its divisors is an integer number (43792822080).

Almost surely, 2^{2010408213825} is an apocalyptic number.

2010408213825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2010408213825 is an abundant number, since it is smaller than the sum of its proper divisors (2193702705855).

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

2010408213825 is a wasteful number, since it uses less digits than its factorization.

2010408213825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11772316 (or 11772305 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2010408213825 in words is "two trillion, ten billion, four hundred eight million, two hundred thirteen thousand, eight hundred twenty-five".