1351464375625 has 225 divisors, whose sum is σ = 2162968526169. Its totient is φ = 843714144000.

The previous prime is 1351464375623. The next prime is 1351464375637. The reversal of 1351464375625 is 5265734641531.

The square root of 1351464375625 is 1162525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 912324894649 + 439139480976 = 955157^2 + 662676^2 .

It is not a de Polignac number, because 1351464375625 - 2¹ = 1351464375623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1351464375623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 18513210589 + ... + 18513210661.

Almost surely, 2^{1351464375625} is an apocalyptic number.

1351464375625 is the 1162525-th square number.

1351464375625 is the 581263-rd centered octagonal number.

It is an amenable number.

1351464375625 is a deficient number, since it is larger than the sum of its proper divisors (811504150544).

1351464375625 is an frugal number, since it uses more digits than its factorization.

1351464375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 98 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 52.

The spelling of 1351464375625 in words is "one trillion, three hundred fifty-one billion, four hundred sixty-four million, three hundred seventy-five thousand, six hundred twenty-five".