51480624 has 160 divisors (see below), whose sum is σ = 158989824. Its totient is φ = 14192640.

The previous prime is 51480623. The next prime is 51480643. The reversal of 51480624 is 42608415.

It is a Cunningham number, because it is equal to 7175²-1.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 51480591 and 51480600.

It is not an unprimeable number, because it can be changed into a prime (51480623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243879 + ... + 244089.

Almost surely, 2^51480624 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 51480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79494912).

51480624 is an abundant number, since it is smaller than the sum of its proper divisors (107509200).

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

51480624 is a wasteful number, since it uses less digits than its factorization.

51480624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 51480624 is about 7174.9999303136. Note that the first 4 decimals coincide. The cubic root of 51480624 is about 372.0042779020.

The spelling of 51480624 in words is "fifty-one million, four hundred eighty thousand, six hundred twenty-four".