51363900 has 216 divisors, whose sum is σ = 190654464. Its totient is φ = 11318400.

The previous prime is 51363889. The next prime is 51363913. The reversal of 51363900 is 936315.

51363900 is a `hidden beast` number, since 513 + 63 + 90 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195169 + ... + 195431.

Almost surely, 2^51363900 is an apocalyptic number.

51363900 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 51363900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

51363900 is an abundant number, since it is smaller than the sum of its proper divisors (139290564).

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

51363900 is a wasteful number, since it uses less digits than its factorization.

51363900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 51363900 is about 7166.8612376688. The cubic root of 51363900 is about 371.7229119389.

The spelling of 51363900 in words is "fifty-one million, three hundred sixty-three thousand, nine hundred".