10125125 has 8 divisors (see below), whose sum is σ = 12636312. Its totient is φ = 8100000.

The previous prime is 10125109. The next prime is 10125131. The reversal of 10125125 is 52152101.

It is a Cunningham number, because it is equal to 3182²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 10125124 = 1^2 + 3182^2 .

It is not a de Polignac number, because 10125125 - 2⁴ = 10125109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40376 + ... + 40625.

It is an arithmetic number, because the mean of its divisors is an integer number (1579539).

Almost surely, 2^10125125 is an apocalyptic number.

It is an amenable number.

10125125 is a deficient number, since it is larger than the sum of its proper divisors (2511187).

10125125 is an frugal number, since it uses more digits than its factorization.

10125125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81016 (or 81006 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 10125125 is about 3182.0001571339. Note that the first 3 decimals coincide. The cubic root of 10125125 is about 216.3383258200.

Adding to 10125125 its reverse (52152101), we get a palindrome (62277226).

It can be divided in two parts, 10125 and 125, that multiplied together give a square (1265625 = 1125²).

The spelling of 10125125 in words is "ten million, one hundred twenty-five thousand, one hundred twenty-five".