1772096102401 has 9 divisors (see below), whose sum is σ = 1806234654441. Its totient is φ = 1738591104432.

The previous prime is 1772096102333. The next prime is 1772096102411. The reversal of 1772096102401 is 1042016902771.

The square root of 1772096102401 is 1331201.

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 174096728001 + 1597999374400 = 417249^2 + 1264120^2 .

It is not a de Polignac number, because 1772096102401 - 2²¹ = 1772094005249 is a prime.

It is a super-2 number, since 2×1772096102401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1772096102411) 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, 70541095 + ... + 70566211.

Almost surely, 2^{1772096102401} is an apocalyptic number.

1772096102401 is the 1331201-st square number.

1772096102401 is the 665601-st centered octagonal number.

It is an amenable number.

1772096102401 is a deficient number, since it is larger than the sum of its proper divisors (34138552040).

1772096102401 is an frugal number, since it uses more digits than its factorization.

1772096102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50340 (or 25170 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 1772096102401 in words is "one trillion, seven hundred seventy-two billion, ninety-six million, one hundred two thousand, four hundred one".