51963120 has 220 divisors, whose sum is σ = 197694936. Its totient is φ = 12597120.

The previous prime is 51963097. The next prime is 51963143. The reversal of 51963120 is 2136915.

51963120 is a `hidden beast` number, since 5 + 1 + 9 + 631 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (51963097) and next prime (51963143).

It is a tau number, because it is divible by the number of its divisors (220).

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 4723915 + ... + 4723925.

Almost surely, 2^51963120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847468).

51963120 is an abundant number, since it is smaller than the sum of its proper divisors (145731816).

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

51963120 is an equidigital number, since it uses as much as digits as its factorization.

51963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51963120 is about 7208.5449294570. The cubic root of 51963120 is about 373.1628544206.

The spelling of 51963120 in words is "fifty-one million, nine hundred sixty-three thousand, one hundred twenty".