10214441325 has 144 divisors (see below), whose sum is σ = 21110880960. Its totient is φ = 4669056000.

The previous prime is 10214441311. The next prime is 10214441329. The reversal of 10214441325 is 52314441201.

10214441325 is a `hidden beast` number, since 1 + 0 + 214 + 441 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 10214441325 - 2⁴ = 10214441309 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214441329) 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 143 ways as a sum of consecutive naturals, for example, 13213639 + ... + 13214411.

It is an arithmetic number, because the mean of its divisors is an integer number (146603340).

Almost surely, 2^10214441325 is an apocalyptic number.

10214441325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10214441325 is an abundant number, since it is smaller than the sum of its proper divisors (10896439635).

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

10214441325 is a wasteful number, since it uses less digits than its factorization.

10214441325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10214441325 its reverse (52314441201), we get a palindrome (62528882526).

The spelling of 10214441325 in words is "ten billion, two hundred fourteen million, four hundred forty-one thousand, three hundred twenty-five".