251952049 has 2 divisors, whose sum is σ = 251952050. Its totient is φ = 251952048.

The previous prime is 251952031. The next prime is 251952059. The reversal of 251952049 is 940259152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147258225 + 104693824 = 12135^2 + 10232^2 .

It is a cyclic number.

It is not a de Polignac number, because 251952049 - 2¹⁵ = 251919281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251951999 and 251952017.

It is not a weakly prime, because it can be changed into another prime (251952059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125976024 + 125976025.

It is an arithmetic number, because the mean of its divisors is an integer number (125976025).

Almost surely, 2^251952049 is an apocalyptic number.

It is an amenable number.

251952049 is a deficient number, since it is larger than the sum of its proper divisors (1).

251952049 is an equidigital number, since it uses as much as digits as its factorization.

251952049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 251952049 is about 15872.9974799973. The cubic root of 251952049 is about 631.5958942932.

The spelling of 251952049 in words is "two hundred fifty-one million, nine hundred fifty-two thousand, forty-nine".