1351285352704 has 243 divisors, whose sum is σ = 3200253365673. Its totient is φ = 567795400704.

The previous prime is 1351285352693. The next prime is 1351285352749. The reversal of 1351285352704 is 4072535821531.

The square root of 1351285352704 is 1162448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 606778681600 + 744506671104 = 778960^2 + 862848^2 .

It is a super-2 number, since 2×1351285352704² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12628835019 + ... + 12628835125.

Almost surely, 2^{1351285352704} is an apocalyptic number.

1351285352704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1351285352704 is the 1162448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351285352704

1351285352704 is an abundant number, since it is smaller than the sum of its proper divisors (1848968012969).

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

1351285352704 is an frugal number, since it uses more digits than its factorization.

1351285352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 1351285352704 in words is "one trillion, three hundred fifty-one billion, two hundred eighty-five million, three hundred fifty-two thousand, seven hundred four".