1349535273025 has 81 divisors (see below), whose sum is σ = 1810904876571. Its totient is φ = 997459207680.

The previous prime is 1349535273007. The next prime is 1349535273029. The reversal of 1349535273025 is 5203725359431.

The square root of 1349535273025 is 1161695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 30841330689 + 1318693942336 = 175617^2 + 1148344^2 .

It is not a de Polignac number, because 1349535273025 - 2¹¹ = 1349535270977 is a prime.

It is a super-2 number, since 2×1349535273025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1349535273025.

It is not an unprimeable number, because it can be changed into a prime (1349535273029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7800781839 + ... + 7800782011.

Almost surely, 2^{1349535273025} is an apocalyptic number.

1349535273025 is the 1161695-th square number.

1349535273025 is the 580848-th centered octagonal number.

It is an amenable number.

1349535273025 is a deficient number, since it is larger than the sum of its proper divisors (461369603546).

1349535273025 is an frugal number, since it uses more digits than its factorization.

1349535273025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 49.

Multiplying 1349535273025 by its sum of digits (49), we get a square (66127228378225 = 8131865²).

The spelling of 1349535273025 in words is "one trillion, three hundred forty-nine billion, five hundred thirty-five million, two hundred seventy-three thousand, twenty-five".