51249000 has 128 divisors (see below), whose sum is σ = 174545280. Its totient is φ = 12416000.

The previous prime is 51248987. The next prime is 51249017. The reversal of 51249000 is 94215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32224 + ... + 33776.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^51249000 is an apocalyptic number.

51249000 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 51249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

51249000 is an abundant number, since it is smaller than the sum of its proper divisors (123296280).

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

51249000 is a wasteful number, since it uses less digits than its factorization.

51249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51249000 is about 7158.8406882679. The cubic root of 51249000 is about 371.4455261350.

The spelling of 51249000 in words is "fifty-one million, two hundred forty-nine thousand".