51263520 has 384 divisors, whose sum is σ = 214824960. Its totient is φ = 9953280.

The previous prime is 51263519. The next prime is 51263521. The reversal of 51263520 is 2536215.

It is an interprime number because it is at equal distance from previous prime (51263519) and next prime (51263521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51263521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702204 + ... + 702276.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^51263520 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 51263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

51263520 is an abundant number, since it is smaller than the sum of its proper divisors (163561440).

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

51263520 is a wasteful number, since it uses less digits than its factorization.

51263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 51263520 is about 7159.8547471300. The cubic root of 51263520 is about 371.4806024602.

Adding to 51263520 its reverse (2536215), we get a palindrome (53799735).

It can be divided in two parts, 5126 and 3520, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 51263520 in words is "fifty-one million, two hundred sixty-three thousand, five hundred twenty".