410212125 has 96 divisors (see below), whose sum is σ = 795057120. Its totient is φ = 202752000.

The previous prime is 410212097. The next prime is 410212139. The reversal of 410212125 is 521212014.

It can be written as a sum of positive squares in 16 ways, for example, as 245423556 + 164788569 = 15666^2 + 12837^2 .

It is not a de Polignac number, because 410212125 - 2⁸ = 410211869 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 410212098 and 410212107.

It is a congruent number.

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, 1702005 + ... + 1702245.

It is an arithmetic number, because the mean of its divisors is an integer number (8281845).

Almost surely, 2^410212125 is an apocalyptic number.

410212125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

410212125 is a deficient number, since it is larger than the sum of its proper divisors (384844995).

410212125 is a wasteful number, since it uses less digits than its factorization.

410212125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 410212125 is about 20253.6941074956. The cubic root of 410212125 is about 743.0239813966.

Adding to 410212125 its reverse (521212014), we get a palindrome (931424139).

The spelling of 410212125 in words is "four hundred ten million, two hundred twelve thousand, one hundred twenty-five".