51161670 has 144 divisors (see below), whose sum is σ = 162066528. Its totient is φ = 10967040.

The previous prime is 51161659. The next prime is 51161681. The reversal of 51161670 is 7616115.

51161670 is a nontrivial binomial coefficient, being equal to C(10116, 2).

It is an interprime number because it is at equal distance from previous prime (51161659) and next prime (51161681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181930 + ... + 182210.

It is an arithmetic number, because the mean of its divisors is an integer number (1125462).

Almost surely, 2^51161670 is an apocalyptic number.

51161670 is the 10115-th triangular number and also the 5058-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51161670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81033264).

51161670 is an abundant number, since it is smaller than the sum of its proper divisors (110904858).

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

51161670 is a wasteful number, since it uses less digits than its factorization.

51161670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51161670 is about 7152.7386363546. The cubic root of 51161670 is about 371.2344210039.

Adding to 51161670 its reverse (7616115), we get a palindrome (58777785).

It can be divided in two parts, 5116 and 1670, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 51161670 in words is "fifty-one million, one hundred sixty-one thousand, six hundred seventy".