51497600 has 288 divisors, whose sum is σ = 168218400. Its totient is φ = 15206400.

The previous prime is 51497597. The next prime is 51497639. The reversal of 51497600 is 679415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2710391 + ... + 2710409.

Almost surely, 2^51497600 is an apocalyptic number.

51497600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84109200).

51497600 is an abundant number, since it is smaller than the sum of its proper divisors (116720800).

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

51497600 is a wasteful number, since it uses less digits than its factorization.

51497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 51497600 is about 7176.1828293320. The cubic root of 51497600 is about 372.0451635149.

The spelling of 51497600 in words is "fifty-one million, four hundred ninety-seven thousand, six hundred".