51084540 has 192 divisors, whose sum is σ = 180633600. Its totient is φ = 11881728.

The previous prime is 51084533. The next prime is 51084547. The reversal of 51084540 is 4548015.

It is an interprime number because it is at equal distance from previous prime (51084533) and next prime (51084547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51084547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133189 + ... + 133571.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 2^51084540 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 51084540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

51084540 is an abundant number, since it is smaller than the sum of its proper divisors (129549060).

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

51084540 is a wasteful number, since it uses less digits than its factorization.

51084540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51084540 is about 7147.3449615924. The cubic root of 51084540 is about 371.0477727319.

The spelling of 51084540 in words is "fifty-one million, eighty-four thousand, five hundred forty".