414527106325 has 12 divisors (see below), whose sum is σ = 514046231748. Its totient is φ = 331600640000.

The previous prime is 414527106317. The next prime is 414527106347. The reversal of 414527106325 is 523601725414.

It can be written as a sum of positive squares in 6 ways, for example, as 8749764 + 414518356561 = 2958^2 + 643831^2 .

It is not a de Polignac number, because 414527106325 - 2³ = 414527106317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118102 + ... + 918151.

It is an arithmetic number, because the mean of its divisors is an integer number (42837185979).

Almost surely, 2^414527106325 is an apocalyptic number.

It is an amenable number.

414527106325 is a deficient number, since it is larger than the sum of its proper divisors (99519125423).

414527106325 is a wasteful number, since it uses less digits than its factorization.

414527106325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052264 (or 1052259 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 414527106325 in words is "four hundred fourteen billion, five hundred twenty-seven million, one hundred six thousand, three hundred twenty-five".