2758253318401 has 9 divisors (see below), whose sum is σ = 3208593914499. Its totient is φ = 2364207165264.

The previous prime is 2758253318347. The next prime is 2758253318441. The reversal of 2758253318401 is 1048133528572.

The square root of 2758253318401 is 1660799.

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

It can be written as a sum of positive squares in only one way, i.e., 1408529844225 + 1349723474176 = 1186815^2 + 1161776^2 .

It is not a de Polignac number, because 2758253318401 - 2²¹ = 2758251221249 is a prime.

It is a super-3 number, since 3×2758253318401³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2758253318441) 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, 11506965 + ... + 11744221.

Almost surely, 2^{2758253318401} is an apocalyptic number.

2758253318401 is the 1660799-th square number.

2758253318401 is the 830400-th centered octagonal number.

It is an amenable number.

2758253318401 is a deficient number, since it is larger than the sum of its proper divisors (450340596098).

2758253318401 is an frugal number, since it uses more digits than its factorization.

2758253318401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474528 (or 237264 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 2758253318401 by its sum of digits (49), we get a square (135154412601649 = 11625593²).

2758253318401 divided by its sum of digits (49) gives a square (56290884049 = 237257²).

The spelling of 2758253318401 in words is "two trillion, seven hundred fifty-eight billion, two hundred fifty-three million, three hundred eighteen thousand, four hundred one".