10020205251 has 64 divisors (see below), whose sum is σ = 17584819200. Its totient is φ = 5517566208.

The previous prime is 10020205241. The next prime is 10020205259. The reversal of 10020205251 is 15250202001.

10020205251 is a `hidden beast` number, since 100 + 20 + 20 + 525 + 1 = 666.

It is not a de Polignac number, because 10020205251 - 2⁶ = 10020205187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020205259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3380296 + ... + 3383258.

It is an arithmetic number, because the mean of its divisors is an integer number (274762800).

Almost surely, 2^10020205251 is an apocalyptic number.

10020205251 is a deficient number, since it is larger than the sum of its proper divisors (7564613949).

10020205251 is a wasteful number, since it uses less digits than its factorization.

10020205251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10020205251 its reverse (15250202001), we get a palindrome (25270407252).

The spelling of 10020205251 in words is "ten billion, twenty million, two hundred five thousand, two hundred fifty-one".