51735900 has 72 divisors (see below), whose sum is σ = 154545664. Its totient is φ = 13348800.

The previous prime is 51735881. The next prime is 51735907. The reversal of 51735900 is 953715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51735907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6519 + ... + 12081.

Almost surely, 2^51735900 is an apocalyptic number.

51735900 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 51735900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77272832).

51735900 is an abundant number, since it is smaller than the sum of its proper divisors (102809764).

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

51735900 is a wasteful number, since it uses less digits than its factorization.

51735900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 51735900 is about 7192.7672004591. The cubic root of 51735900 is about 372.6181478894.

The spelling of 51735900 in words is "fifty-one million, seven hundred thirty-five thousand, nine hundred".