34213125251 has 2 divisors, whose sum is σ = 34213125252. Its totient is φ = 34213125250.

The previous prime is 34213125223. The next prime is 34213125253. The reversal of 34213125251 is 15252131243.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34213125251 - 2⁶ = 34213125187 is a prime.

It is a super-2 number, since 2×34213125251² (a number of 22 digits) contains 22 as substring.

Together with 34213125253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34213125253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17106562625 + 17106562626.

It is an arithmetic number, because the mean of its divisors is an integer number (17106562626).

Almost surely, 2^34213125251 is an apocalyptic number.

34213125251 is a deficient number, since it is larger than the sum of its proper divisors (1).

34213125251 is an equidigital number, since it uses as much as digits as its factorization.

34213125251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7200, while the sum is 29.

Adding to 34213125251 its reverse (15252131243), we get a palindrome (49465256494).

The spelling of 34213125251 in words is "thirty-four billion, two hundred thirteen million, one hundred twenty-five thousand, two hundred fifty-one".