251233015001 has 2 divisors, whose sum is σ = 251233015002. Its totient is φ = 251233015000.

The previous prime is 251233014979. The next prime is 251233015003. The reversal of 251233015001 is 100510332152.

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., 227223822400 + 24009192601 = 476680^2 + 154949^2 .

It is a cyclic number.

It is not a de Polignac number, because 251233015001 - 2¹⁴ = 251232998617 is a prime.

Together with 251233015003, 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 (251233015003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125616507500 + 125616507501.

It is an arithmetic number, because the mean of its divisors is an integer number (125616507501).

Almost surely, 2^251233015001 is an apocalyptic number.

It is an amenable number.

251233015001 is a deficient number, since it is larger than the sum of its proper divisors (1).

251233015001 is an equidigital number, since it uses as much as digits as its factorization.

251233015001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 251233015001 its reverse (100510332152), we get a palindrome (351743347153).

The spelling of 251233015001 in words is "two hundred fifty-one billion, two hundred thirty-three million, fifteen thousand, one".