51683520 has 112 divisors (see below), whose sum is σ = 187561728. Its totient is φ = 11811840.

The previous prime is 51683497. The next prime is 51683537. The reversal of 51683520 is 2538615.

51683520 = T₁₇₀₁ + T₁₇₀₂ + ... + T₁₇₃₅.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875 + ... + 10565.

Almost surely, 2^51683520 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 51683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93780864).

51683520 is an abundant number, since it is smaller than the sum of its proper divisors (135878208).

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

51683520 is a wasteful number, since it uses less digits than its factorization.

51683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 51683520 is about 7189.1251206249. The cubic root of 51683520 is about 372.4923530403.

The spelling of 51683520 in words is "fifty-one million, six hundred eighty-three thousand, five hundred twenty".