414002315153101 has 2 divisors, whose sum is σ = 414002315153102. Its totient is φ = 414002315153100.

The previous prime is 414002315153081. The next prime is 414002315153149. The reversal of 414002315153101 is 101351513200414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409837148469225 + 4165166683876 = 20244435^2 + 2040874^2 .

It is a cyclic number.

It is not a de Polignac number, because 414002315153101 - 2⁵ = 414002315153069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414002315103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207001157576550 + 207001157576551.

It is an arithmetic number, because the mean of its divisors is an integer number (207001157576551).

Almost surely, 2^{414002315153101} is an apocalyptic number.

It is an amenable number.

414002315153101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414002315153101 is an equidigital number, since it uses as much as digits as its factorization.

414002315153101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 414002315153101 its reverse (101351513200414), we get a palindrome (515353828353515).

The spelling of 414002315153101 in words is "four hundred fourteen trillion, two billion, three hundred fifteen million, one hundred fifty-three thousand, one hundred one".