414301026225513 has 64 divisors (see below), whose sum is σ = 643730669936640. Its totient is φ = 232094947698432.

The previous prime is 414301026225467. The next prime is 414301026225533. The reversal of 414301026225513 is 315522620103414.

It is not a de Polignac number, because 414301026225513 - 2¹⁷ = 414301026094441 is a prime.

It is a super-3 number, since 3×414301026225513³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414301026225533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7806810343 + ... + 7806863411.

It is an arithmetic number, because the mean of its divisors is an integer number (10058291717760).

Almost surely, 2^{414301026225513} is an apocalyptic number.

It is an amenable number.

414301026225513 is a deficient number, since it is larger than the sum of its proper divisors (229429643711127).

414301026225513 is a wasteful number, since it uses less digits than its factorization.

414301026225513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58486.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 414301026225513 its reverse (315522620103414), we get a palindrome (729823646328927).

The spelling of 414301026225513 in words is "four hundred fourteen trillion, three hundred one billion, twenty-six million, two hundred twenty-five thousand, five hundred thirteen".