51141024 has 96 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 15494400.

The previous prime is 51141011. The next prime is 51141037. The reversal of 51141024 is 42014115.

It is an interprime number because it is at equal distance from previous prime (51141011) and next prime (51141037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51140988 and 51141006.

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, 6814 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^51141024 is an apocalyptic number.

51141024 is a gapful number since it is divisible by the number (54) 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 51141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

51141024 is an abundant number, since it is smaller than the sum of its proper divisors (111610656).

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

51141024 is a wasteful number, since it uses less digits than its factorization.

51141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51141024 is about 7151.2952672925. The cubic root of 51141024 is about 371.1844777744.

Adding to 51141024 its reverse (42014115), we get a palindrome (93155139).

The spelling of 51141024 in words is "fifty-one million, one hundred forty-one thousand, twenty-four".