51125940 has 72 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 13581504.

The previous prime is 51125911. The next prime is 51125959. The reversal of 51125940 is 4952115.

51125940 = 375² + 376² + ... + 590².

It is a super-2 number, since 2×51125940² = 5227723481767200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78697 + ... + 79343.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^51125940 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 51125940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

51125940 is an abundant number, since it is smaller than the sum of its proper divisors (104549580).

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

51125940 is a wasteful number, since it uses less digits than its factorization.

51125940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 51125940 is about 7150.2405553939. The cubic root of 51125940 is about 371.1479806743.

The spelling of 51125940 in words is "fifty-one million, one hundred twenty-five thousand, nine hundred forty".