51537528 has 96 divisors (see below), whose sum is σ = 160524000. Its totient is φ = 14632704.

The previous prime is 51537511. The next prime is 51537529. The reversal of 51537528 is 82573515.

It is a super-2 number, since 2×51537528² = 5312233584701568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51537492 and 51537501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51537529) 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, 147498 + ... + 147846.

It is an arithmetic number, because the mean of its divisors is an integer number (1672125).

Almost surely, 2^51537528 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 51537528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262000).

51537528 is an abundant number, since it is smaller than the sum of its proper divisors (108986472).

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

51537528 is a wasteful number, since it uses less digits than its factorization.

51537528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 51537528 is about 7178.9642707009. The cubic root of 51537528 is about 372.1412921483.

The spelling of 51537528 in words is "fifty-one million, five hundred thirty-seven thousand, five hundred twenty-eight".