1351531566660 has 768 divisors, whose sum is σ = 4455864483840. Its totient is φ = 303114240000.

The previous prime is 1351531566599. The next prime is 1351531566677. The reversal of 1351531566660 is 666651351531.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10317034795 + ... + 10317034925.

It is an arithmetic number, because the mean of its divisors is an integer number (5801906880).

Almost surely, 2^{1351531566660} is an apocalyptic number.

1351531566660 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 1351531566660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227932241920).

1351531566660 is an abundant number, since it is smaller than the sum of its proper divisors (3104332917180).

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

1351531566660 is a wasteful number, since it uses less digits than its factorization.

1351531566660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

It can be divided in two parts, 1351531 and 566660, that added together give a palindrome (1918191).

The spelling of 1351531566660 in words is "one trillion, three hundred fifty-one billion, five hundred thirty-one million, five hundred sixty-six thousand, six hundred sixty".