413214041225 has 24 divisors (see below), whose sum is σ = 514699687320. Its totient is φ = 329081195520.

The previous prime is 413214041213. The next prime is 413214041269. The reversal of 413214041225 is 522140412314.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 122189397136 + 291024644089 = 349556^2 + 539467^2 .

It is not a de Polignac number, because 413214041225 - 2¹⁸ = 413213779081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5463971 + ... + 5539079.

It is an arithmetic number, because the mean of its divisors is an integer number (21445820305).

Almost surely, 2^413214041225 is an apocalyptic number.

It is an amenable number.

413214041225 is a deficient number, since it is larger than the sum of its proper divisors (101485646095).

413214041225 is a wasteful number, since it uses less digits than its factorization.

413214041225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76109 (or 76104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 413214041225 its reverse (522140412314), we get a palindrome (935354453539).

The spelling of 413214041225 in words is "four hundred thirteen billion, two hundred fourteen million, forty-one thousand, two hundred twenty-five".