51541560 has 192 divisors, whose sum is σ = 194201280. Its totient is φ = 11612160.

The previous prime is 51541549. The next prime is 51541571. The reversal of 51541560 is 6514515.

It is a happy number.

51541560 is a `hidden beast` number, since 51 + 54 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (51541549) and next prime (51541571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284670 + ... + 284850.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^51541560 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 51541560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

51541560 is an abundant number, since it is smaller than the sum of its proper divisors (142659720).

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

51541560 is a wasteful number, since it uses less digits than its factorization.

51541560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 51541560 is about 7179.2450856619. The cubic root of 51541560 is about 372.1509966272.

The spelling of 51541560 in words is "fifty-one million, five hundred forty-one thousand, five hundred sixty".