51242632 has 48 divisors (see below), whose sum is σ = 114819660. Its totient is φ = 21361536.

The previous prime is 51242629. The next prime is 51242651. The reversal of 51242632 is 23624215.

It can be written as a sum of positive squares in 2 ways, for example, as 43480836 + 7761796 = 6594^2 + 2786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51242597 and 51242606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12738 + ... + 16270.

Almost surely, 2^51242632 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 51242632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57409830).

51242632 is an abundant number, since it is smaller than the sum of its proper divisors (63577028).

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

51242632 is a wasteful number, since it uses less digits than its factorization.

51242632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3579 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 51242632 is about 7158.3959096993. The cubic root of 51242632 is about 371.4301407091.

Adding to 51242632 its reverse (23624215), we get a palindrome (74866847).

It can be divided in two parts, 512 and 42632, that multiplied together give a square (21827584 = 4672²).

The spelling of 51242632 in words is "fifty-one million, two hundred forty-two thousand, six hundred thirty-two".