51677370 has 48 divisors (see below), whose sum is σ = 136578312. Its totient is φ = 13553280.

The previous prime is 51677363. The next prime is 51677371. The reversal of 51677370 is 7377615.

51677370 is a `hidden beast` number, since 516 + 7 + 73 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44076321 + 7601049 = 6639^2 + 2757^2 .

It is not an unprimeable number, because it can be changed into a prime (51677371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 784 + ... + 10196.

Almost surely, 2^51677370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51677370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68289156).

51677370 is an abundant number, since it is smaller than the sum of its proper divisors (84900942).

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

51677370 is a wasteful number, since it uses less digits than its factorization.

51677370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 51677370 is about 7188.6973785242. The cubic root of 51677370 is about 372.4775777384.

The spelling of 51677370 in words is "fifty-one million, six hundred seventy-seven thousand, three hundred seventy".