346135324500253 has 2 divisors, whose sum is σ = 346135324500254. Its totient is φ = 346135324500252.

The previous prime is 346135324500241. The next prime is 346135324500257. The reversal of 346135324500253 is 352005423531643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336451048130404 + 9684276369849 = 18342602^2 + 3111957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-346135324500253 is a prime.

It is a super-3 number, since 3×346135324500253³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346135324500257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173067662250126 + 173067662250127.

It is an arithmetic number, because the mean of its divisors is an integer number (173067662250127).

Almost surely, 2^{346135324500253} is an apocalyptic number.

It is an amenable number.

346135324500253 is a deficient number, since it is larger than the sum of its proper divisors (1).

346135324500253 is an equidigital number, since it uses as much as digits as its factorization.

346135324500253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888000, while the sum is 46.

The spelling of 346135324500253 in words is "three hundred forty-six trillion, one hundred thirty-five billion, three hundred twenty-four million, five hundred thousand, two hundred fifty-three".