51001132 has 48 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 20031552.

The previous prime is 51001123. The next prime is 51001141. The reversal of 51001132 is 23110015.

It is an interprime number because it is at equal distance from previous prime (51001123) and next prime (51001141).

It is a super-2 number, since 2×51001132² = 5202230930562848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60369 + ... + 61207.

It is an arithmetic number, because the mean of its divisors is an integer number (2304960).

Almost surely, 2^51001132 is an apocalyptic number.

51001132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319040).

51001132 is an abundant number, since it is smaller than the sum of its proper divisors (59636948).

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

51001132 is a wasteful number, since it uses less digits than its factorization.

51001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51001132 is about 7141.5076839558. The cubic root of 51001132 is about 370.8457206596.

Adding to 51001132 its reverse (23110015), we get a palindrome (74111147).

The spelling of 51001132 in words is "fifty-one million, one thousand, one hundred thirty-two".