1319743737601 has 9 divisors (see below), whose sum is σ = 1338155104521. Its totient is φ = 1301582342592.

The previous prime is 1319743737563. The next prime is 1319743737607. The reversal of 1319743737601 is 1067373479131.

It is a happy number.

The square root of 1319743737601 is 1148801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 359578923201 + 960164814400 = 599649^2 + 979880^2 .

It is not a de Polignac number, because 1319743737601 - 2¹¹ = 1319743735553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1319743737607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83854605 + ... + 83870341.

Almost surely, 2^{1319743737601} is an apocalyptic number.

1319743737601 is the 1148801-st square number.

1319743737601 is the 574401-st centered octagonal number.

It is an amenable number.

1319743737601 is a deficient number, since it is larger than the sum of its proper divisors (18411366920).

1319743737601 is an frugal number, since it uses more digits than its factorization.

1319743737601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31620 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 52.

The spelling of 1319743737601 in words is "one trillion, three hundred nineteen billion, seven hundred forty-three million, seven hundred thirty-seven thousand, six hundred one".