51514632 has 96 divisors (see below), whose sum is σ = 153578880. Its totient is φ = 15500160.

The previous prime is 51514627. The next prime is 51514633. The reversal of 51514632 is 23641515.

51514632 is a `hidden beast` number, since 5 + 15 + 14 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51514596 and 51514605.

It is not an unprimeable number, because it can be changed into a prime (51514633) 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, 43407 + ... + 44577.

It is an arithmetic number, because the mean of its divisors is an integer number (1599780).

Almost surely, 2^51514632 is an apocalyptic number.

51514632 is a gapful number since it is divisible by the number (52) 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 51514632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76789440).

51514632 is an abundant number, since it is smaller than the sum of its proper divisors (102064248).

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

51514632 is a wasteful number, since it uses less digits than its factorization.

51514632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51514632 is about 7177.3694345491. The cubic root of 51514632 is about 372.0861749716.

The spelling of 51514632 in words is "fifty-one million, five hundred fourteen thousand, six hundred thirty-two".