20101325 has 12 divisors (see below), whose sum is σ = 25111860. Its totient is φ = 15960960.

The previous prime is 20101309. The next prime is 20101331. The reversal of 20101325 is 52310102.

20101325 = 313² + 314² + ... + 449².

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2149156 + 17952169 = 1466^2 + 4237^2 .

It is not a de Polignac number, because 20101325 - 2⁴ = 20101309 is a prime.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 491 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (2092655).

Almost surely, 2^20101325 is an apocalyptic number.

20101325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20101325 is a deficient number, since it is larger than the sum of its proper divisors (5010535).

20101325 is a wasteful number, since it uses less digits than its factorization.

20101325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20101325 is about 4483.4501223946. The cubic root of 20101325 is about 271.8993869876.

Adding to 20101325 its reverse (52310102), we get a palindrome (72411427).

The spelling of 20101325 in words is "twenty million, one hundred one thousand, three hundred twenty-five".