415306003201 has 8 divisors (see below), whose sum is σ = 426544390440. Its totient is φ = 404068347648.

The previous prime is 415306003199. The next prime is 415306003213. The reversal of 415306003201 is 102300603514.

It can be written as a sum of positive squares in 4 ways, for example, as 42716622400 + 372589380801 = 206680^2 + 610401^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415306003201 - 2¹ = 415306003199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415306003001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084935 + ... + 1416931.

It is an arithmetic number, because the mean of its divisors is an integer number (53318048805).

Almost surely, 2^415306003201 is an apocalyptic number.

It is an amenable number.

415306003201 is a deficient number, since it is larger than the sum of its proper divisors (11238387239).

415306003201 is a wasteful number, since it uses less digits than its factorization.

415306003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365843.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 415306003201 its reverse (102300603514), we get a palindrome (517606606715).

The spelling of 415306003201 in words is "four hundred fifteen billion, three hundred six million, three thousand, two hundred one".