2752118420401 has 9 divisors (see below), whose sum is σ = 3201457385451. Its totient is φ = 2358948692352.

The previous prime is 2752118420393. The next prime is 2752118420413. The reversal of 2752118420401 is 1040248112572.

The square root of 2752118420401 is 1658951.

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., 109465031025 + 2642653389376 = 330855^2 + 1625624^2 .

It is not a de Polignac number, because 2752118420401 - 2³ = 2752118420393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2752118420101) 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, 11494161 + ... + 11731153.

Almost surely, 2^{2752118420401} is an apocalyptic number.

2752118420401 is the 1658951-st square number.

2752118420401 is the 829476-th centered octagonal number.

It is an amenable number.

2752118420401 is a deficient number, since it is larger than the sum of its proper divisors (449338965050).

2752118420401 is an frugal number, since it uses more digits than its factorization.

2752118420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474000 (or 237000 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 2752118420401 in words is "two trillion, seven hundred fifty-two billion, one hundred eighteen million, four hundred twenty thousand, four hundred one".