51131223000 has 2048 divisors, whose sum is σ = 237758976000. Its totient is φ = 9953280000.

The previous prime is 51131222999. The next prime is 51131223047. The reversal of 51131223000 is 32213115.

51131223000 is a `hidden beast` number, since 51 + 1 + 312 + 2 + 300 + 0 = 666.

It is a super-2 number, since 2×51131223000² (a number of 22 digits) 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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1247102980 + ... + 1247103020.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^51131223000 is an apocalyptic number.

51131223000 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 51131223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488000).

51131223000 is an abundant number, since it is smaller than the sum of its proper divisors (186627753000).

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

51131223000 is a wasteful number, since it uses less digits than its factorization.

51131223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 51131223000 its reverse (32213115), we get a palindrome (51163436115).

The spelling of 51131223000 in words is "fifty-one billion, one hundred thirty-one million, two hundred twenty-three thousand".