414351253 has 2 divisors, whose sum is σ = 414351254. Its totient is φ = 414351252.

The previous prime is 414351247. The next prime is 414351257. The reversal of 414351253 is 352153414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289068004 + 125283249 = 17002^2 + 11193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414351253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414351257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207175626 + 207175627.

It is an arithmetic number, because the mean of its divisors is an integer number (207175627).

Almost surely, 2^414351253 is an apocalyptic number.

It is an amenable number.

414351253 is a deficient number, since it is larger than the sum of its proper divisors (1).

414351253 is an equidigital number, since it uses as much as digits as its factorization.

414351253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 28.

The square root of 414351253 is about 20355.6196908863. The cubic root of 414351253 is about 745.5147129987.

The spelling of 414351253 in words is "four hundred fourteen million, three hundred fifty-one thousand, two hundred fifty-three".