535752266401 has 9 divisors (see below), whose sum is σ = 588893572659. Its totient is φ = 487040195400.

The previous prime is 535752266393. The next prime is 535752266411. The reversal of 535752266401 is 104662257535.

It is a happy number.

The square root of 535752266401 is 731951.

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., 472520134801 + 63232131600 = 687401^2 + 251460^2 .

It is not a de Polignac number, because 535752266401 - 2³ = 535752266393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (535752266411) 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, 8018191 + ... + 8084731.

Almost surely, 2^535752266401 is an apocalyptic number.

535752266401 is the 731951-st square number.

535752266401 is the 365976-th centered octagonal number.

It is an amenable number.

535752266401 is a deficient number, since it is larger than the sum of its proper divisors (53141306258).

535752266401 is an frugal number, since it uses more digits than its factorization.

535752266401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133104 (or 66552 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 535752266401 in words is "five hundred thirty-five billion, seven hundred fifty-two million, two hundred sixty-six thousand, four hundred one".