51120520 has 64 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 18470400.

The previous prime is 51120463. The next prime is 51120527. The reversal of 51120520 is 2502115.

It is a super-2 number, since 2×51120520² = 5226615130140800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51120494 and 51120503.

It is not an unprimeable number, because it can be changed into a prime (51120527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97860 + ... + 98380.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2^51120520 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 51120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

51120520 is an abundant number, since it is smaller than the sum of its proper divisors (75161720).

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

51120520 is a wasteful number, since it uses less digits than its factorization.

51120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51120520 is about 7149.8615371208. The cubic root of 51120520 is about 371.1348647417.

Adding to 51120520 its reverse (2502115), we get a palindrome (53622635).

It can be divided in two parts, 511205 and 20, that added together give a square (511225 = 715²).

The spelling of 51120520 in words is "fifty-one million, one hundred twenty thousand, five hundred twenty".