1531251868860 has 432 divisors, whose sum is σ = 5619169221120. Its totient is φ = 349006008960.

The previous prime is 1531251868829. The next prime is 1531251868873. The reversal of 1531251868860 is 688681521351.

1531251868860 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 2 + 518 + 68 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1531251868797 and 1531251868806.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 85483305 + ... + 85501215.

It is an arithmetic number, because the mean of its divisors is an integer number (13007336160).

Almost surely, 2^{1531251868860} is an apocalyptic number.

1531251868860 is a gapful number since it is divisible by the number (10) 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 1531251868860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809584610560).

1531251868860 is an abundant number, since it is smaller than the sum of its proper divisors (4087917352260).

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

1531251868860 is a wasteful number, since it uses less digits than its factorization.

1531251868860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1531251868860 in words is "one trillion, five hundred thirty-one billion, two hundred fifty-one million, eight hundred sixty-eight thousand, eight hundred sixty".