123513251 has 2 divisors, whose sum is σ = 123513252. Its totient is φ = 123513250.

The previous prime is 123513217. The next prime is 123513253. The reversal of 123513251 is 152315321.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123513251 - 2¹⁰ = 123512227 is a prime.

Together with 123513253, 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 (123513253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61756625 + 61756626.

It is an arithmetic number, because the mean of its divisors is an integer number (61756626).

Almost surely, 2^123513251 is an apocalyptic number.

123513251 is a deficient number, since it is larger than the sum of its proper divisors (1).

123513251 is an equidigital number, since it uses as much as digits as its factorization.

123513251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 900, while the sum is 23.

The square root of 123513251 is about 11113.6515601309. The cubic root of 123513251 is about 498.0097563719.

Adding to 123513251 its reverse (152315321), we get a palindrome (275828572).

The spelling of 123513251 in words is "one hundred twenty-three million, five hundred thirteen thousand, two hundred fifty-one".