414431252153 has 2 divisors, whose sum is σ = 414431252154. Its totient is φ = 414431252152.

The previous prime is 414431252129. The next prime is 414431252233. The reversal of 414431252153 is 351252134414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 372689493289 + 41741758864 = 610483^2 + 204308^2 .

It is a cyclic number.

It is not a de Polignac number, because 414431252153 - 2¹⁸ = 414430990009 is a prime.

It is a super-2 number, since 2×414431252153² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414431252353) by changing a digit.

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 as a sum of consecutive naturals, namely, 207215626076 + 207215626077.

It is an arithmetic number, because the mean of its divisors is an integer number (207215626077).

Almost surely, 2^414431252153 is an apocalyptic number.

It is an amenable number.

414431252153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414431252153 is an equidigital number, since it uses as much as digits as its factorization.

414431252153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 35.

Adding to 414431252153 its reverse (351252134414), we get a palindrome (765683386567).

The spelling of 414431252153 in words is "four hundred fourteen billion, four hundred thirty-one million, two hundred fifty-two thousand, one hundred fifty-three".