51453900 has 288 divisors, whose sum is σ = 187488000. Its totient is φ = 12026880.

The previous prime is 51453889. The next prime is 51453931. The reversal of 51453900 is 935415.

51453900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872071 + ... + 872129.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^51453900 is an apocalyptic number.

51453900 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 51453900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

51453900 is an abundant number, since it is smaller than the sum of its proper divisors (136034100).

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

51453900 is a wasteful number, since it uses less digits than its factorization.

51453900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51453900 is about 7173.1373888976. The cubic root of 51453900 is about 371.9398966373.

It can be divided in two parts, 5145 and 3900, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 51453900 in words is "fifty-one million, four hundred fifty-three thousand, nine hundred".