53545497201 has 45 divisors (see below), whose sum is σ = 93072276891. Its totient is φ = 30589096608.

The previous prime is 53545497191. The next prime is 53545497209. The reversal of 53545497201 is 10279454535.

The square root of 53545497201 is 231399.

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

53545497201 is a `hidden beast` number, since 5 + 35 + 4 + 549 + 72 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3469799025 + 50075698176 = 58905^2 + 223776^2 .

It is not a de Polignac number, because 53545497201 - 2¹⁷ = 53545366129 is a prime.

It is a super-3 number, since 3×53545497201³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53545497209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14576301 + ... + 14579973.

Almost surely, 2^53545497201 is an apocalyptic number.

53545497201 is the 231399-th square number.

53545497201 is the 115700-th centered octagonal number.

It is an amenable number.

53545497201 is a deficient number, since it is larger than the sum of its proper divisors (39526779690).

53545497201 is an frugal number, since it uses more digits than its factorization.

53545497201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 53545497201 in words is "fifty-three billion, five hundred forty-five million, four hundred ninety-seven thousand, two hundred one".