51126000 has 80 divisors (see below), whose sum is σ = 164849568. Its totient is φ = 13632000.

The previous prime is 51125993. The next prime is 51126013. The reversal of 51126000 is 62115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51126000² = 5227735752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740 + ... + 10260.

Almost surely, 2^51126000 is an apocalyptic number.

51126000 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 51126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424784).

51126000 is an abundant number, since it is smaller than the sum of its proper divisors (113723568).

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

51126000 is a wasteful number, since it uses less digits than its factorization.

51126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 51126000 is about 7150.2447510557. The cubic root of 51126000 is about 371.1481258639.

Adding to 51126000 its reverse (62115), we get a palindrome (51188115).

The spelling of 51126000 in words is "fifty-one million, one hundred twenty-six thousand".