1742265362601 has 189 divisors, whose sum is σ = 2883460797837. Its totient is φ = 1052052150960.

The previous prime is 1742265362581. The next prime is 1742265362611. The reversal of 1742265362601 is 1062635622471.

The square root of 1742265362601 is 1319949.

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

1742265362601 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 2 + 6 + 5 + 36 + 2 + 601 = 666.

It is not a de Polignac number, because 1742265362601 - 2¹⁷ = 1742265231529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1742265362611) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 20991148906 + ... + 20991148988.

Almost surely, 2^{1742265362601} is an apocalyptic number.

1742265362601 is the 1319949-th square number.

1742265362601 is the 659975-th centered octagonal number.

It is an amenable number.

1742265362601 is a deficient number, since it is larger than the sum of its proper divisors (1141195435236).

1742265362601 is an frugal number, since it uses more digits than its factorization.

1742265362601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1742265362601 in words is "one trillion, seven hundred forty-two billion, two hundred sixty-five million, three hundred sixty-two thousand, six hundred one".