51397008 has 80 divisors (see below), whose sum is σ = 147657216. Its totient is φ = 15298560.

The previous prime is 51396979. The next prime is 51397013. The reversal of 51397008 is 80079315.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51397008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18016 + ... + 20672.

Almost surely, 2^51397008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51397008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73828608).

51397008 is an abundant number, since it is smaller than the sum of its proper divisors (96260208).

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

51397008 is a wasteful number, since it uses less digits than its factorization.

51397008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 51397008 is about 7169.1706633334. The cubic root of 51397008 is about 371.8027628254.

The spelling of 51397008 in words is "fifty-one million, three hundred ninety-seven thousand, eight".