51956100 has 144 divisors (see below), whose sum is σ = 190960000. Its totient is φ = 11871360.

The previous prime is 51956053. The next prime is 51956119. The reversal of 51956100 is 165915.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17526 + ... + 20274.

Almost surely, 2^51956100 is an apocalyptic number.

51956100 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 51956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480000).

51956100 is an abundant number, since it is smaller than the sum of its proper divisors (139003900).

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

51956100 is a wasteful number, since it uses less digits than its factorization.

51956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51956100 is about 7208.0579908877. The cubic root of 51956100 is about 373.1460494173.

The spelling of 51956100 in words is "fifty-one million, nine hundred fifty-six thousand, one hundred".