51516000 has 288 divisors, whose sum is σ = 193179168. Its totient is φ = 13478400.

The previous prime is 51515999. The next prime is 51516013. The reversal of 51516000 is 61515.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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, 971974 + ... + 972026.

It is an arithmetic number, because the mean of its divisors is an integer number (670761).

Almost surely, 2^51516000 is an apocalyptic number.

51516000 is a gapful number since it is divisible by the number (50) 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 51516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589584).

51516000 is an abundant number, since it is smaller than the sum of its proper divisors (141663168).

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

51516000 is an equidigital number, since it uses as much as digits as its factorization.

51516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51516000 is about 7177.4647334557. The cubic root of 51516000 is about 372.0894685949.

Adding to 51516000 its reverse (61515), we get a palindrome (51577515).

The spelling of 51516000 in words is "fifty-one million, five hundred sixteen thousand".