1293453564601 has 9 divisors (see below), whose sum is σ = 1421743702309. Its totient is φ = 1175855503900.

The previous prime is 1293453564593. The next prime is 1293453564673. The reversal of 1293453564601 is 1064653543921.

The square root of 1293453564601 is 1137301.

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

It is not a de Polignac number, because 1293453564601 - 2³ = 1293453564593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1293453564301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12458616 + ... + 12562006.

Almost surely, 2^{1293453564601} is an apocalyptic number.

1293453564601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1293453564601 is the 1137301-st square number.

1293453564601 is the 568651-st centered octagonal number.

It is an amenable number.

1293453564601 is a deficient number, since it is larger than the sum of its proper divisors (128290137708).

1293453564601 is an frugal number, since it uses more digits than its factorization.

1293453564601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206804 (or 103402 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 1293453564601 by its sum of digits (49), we get a square (63379224665449 = 7961107²).

It can be divided in two parts, 12934 and 53564601, that added together give a palindrome (53577535).

The spelling of 1293453564601 in words is "one trillion, two hundred ninety-three billion, four hundred fifty-three million, five hundred sixty-four thousand, six hundred one".