51219000 has 256 divisors, whose sum is σ = 203673600. Its totient is φ = 11664000.

The previous prime is 51218983. The next prime is 51219013. The reversal of 51219000 is 91215.

It is a super-2 number, since 2×51219000² = 5246771922000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188865 + ... + 189135.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^51219000 is an apocalyptic number.

51219000 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 51219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

51219000 is an abundant number, since it is smaller than the sum of its proper divisors (152454600).

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

51219000 is a wasteful number, since it uses less digits than its factorization.

51219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 51219000 is about 7156.7450702117. The cubic root of 51219000 is about 371.3730333980.

The spelling of 51219000 in words is "fifty-one million, two hundred nineteen thousand".