251061966 has 24 divisors (see below), whose sum is σ = 545028120. Its totient is φ = 83524176.

The previous prime is 251061959. The next prime is 251061971. The reversal of 251061966 is 669160152.

251061966 is a `hidden beast` number, since 25 + 10 + 619 + 6 + 6 = 666.

It is a super-2 number, since 2×251061966² = 126064221543570312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251061966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3921 + ... + 22748.

It is an arithmetic number, because the mean of its divisors is an integer number (22709505).

Almost surely, 2^251061966 is an apocalyptic number.

251061966 is an abundant number, since it is smaller than the sum of its proper divisors (293966154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251061966 is a wasteful number, since it uses less digits than its factorization.

251061966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27200 (or 27197 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 251061966 is about 15844.9350266891. The cubic root of 251061966 is about 630.8512604395.

It can be divided in two parts, 25106 and 1966, that added together give a palindrome (27072).

The spelling of 251061966 in words is "two hundred fifty-one million, sixty-one thousand, nine hundred sixty-six".