5631151117000 has 64 divisors (see below), whose sum is σ = 13183316780400. Its totient is φ = 2251362470400.

The previous prime is 5631151116949. The next prime is 5631151117037. The reversal of 5631151117000 is 7111511365.

It can be written as a sum of positive squares in 8 ways, for example, as 1129871206116 + 4501279910884 = 1062954^2 + 2121622^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681556 + ... + 3424444.

Almost surely, 2^{5631151117000} is an apocalyptic number.

5631151117000 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 5631151117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591658390200).

5631151117000 is an abundant number, since it is smaller than the sum of its proper divisors (7552165663400).

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

5631151117000 is a wasteful number, since it uses less digits than its factorization.

5631151117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744963 (or 2744949 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 31.

Adding to 5631151117000 its reverse (7111511365), we get a palindrome (5638262628365).

The spelling of 5631151117000 in words is "five trillion, six hundred thirty-one billion, one hundred fifty-one million, one hundred seventeen thousand".