251796214849 has 9 divisors (see below), whose sum is σ = 252715323177. Its totient is φ = 250880442624.

The previous prime is 251796214837. The next prime is 251796214903. The reversal of 251796214849 is 948412697152.

The square root of 251796214849 is 501793.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67384372225 + 184411842624 = 259585^2 + 429432^2 .

It is not a de Polignac number, because 251796214849 - 2⁷ = 251796214721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251796214793 and 251796214802.

It is not an unprimeable number, because it can be changed into a prime (251796214819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 169103497 + ... + 169104985.

It is an arithmetic number, because the mean of its divisors is an integer number (28079480353).

Almost surely, 2^251796214849 is an apocalyptic number.

251796214849 is the 501793-rd square number.

251796214849 is the 250897-th centered octagonal number.

It is an amenable number.

251796214849 is a deficient number, since it is larger than the sum of its proper divisors (919108328).

251796214849 is an frugal number, since it uses more digits than its factorization.

251796214849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 1826 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 251796214849 in words is "two hundred fifty-one billion, seven hundred ninety-six million, two hundred fourteen thousand, eight hundred forty-nine".