34503346031953 has 2 divisors, whose sum is σ = 34503346031954. Its totient is φ = 34503346031952.

The previous prime is 34503346031851. The next prime is 34503346031963. The reversal of 34503346031953 is 35913064330543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19345148449344 + 15158197582609 = 4398312^2 + 3893353^2 .

It is a cyclic number.

It is not a de Polignac number, because 34503346031953 - 2²⁵ = 34503312477521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34503346031897 and 34503346031906.

It is not a weakly prime, because it can be changed into another prime (34503346031963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17251673015976 + 17251673015977.

It is an arithmetic number, because the mean of its divisors is an integer number (17251673015977).

Almost surely, 2^{34503346031953} is an apocalyptic number.

It is an amenable number.

34503346031953 is a deficient number, since it is larger than the sum of its proper divisors (1).

34503346031953 is an equidigital number, since it uses as much as digits as its factorization.

34503346031953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5248800, while the sum is 49.

The spelling of 34503346031953 in words is "thirty-four trillion, five hundred three billion, three hundred forty-six million, thirty-one thousand, nine hundred fifty-three".