53801266401 has 9 divisors (see below), whose sum is σ = 77713945491. Its totient is φ = 35867047032.

The previous prime is 53801266373. The next prime is 53801266417. The reversal of 53801266401 is 10466210835.

It is a happy number.

The square root of 53801266401 is 231951.

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

53801266401 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 1 + 2 + 6 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37088982225 + 16712284176 = 192585^2 + 129276^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-53801266401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53801266901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 657195 + ... + 734511.

Almost surely, 2^53801266401 is an apocalyptic number.

53801266401 is the 231951-st square number.

53801266401 is the 115976-th centered octagonal number.

It is an amenable number.

53801266401 is a deficient number, since it is larger than the sum of its proper divisors (23912679090).

53801266401 is an frugal number, since it uses more digits than its factorization.

53801266401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154640 (or 77320 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 53801266401 by its sum of digits (36), we get a square (1936845590436 = 1391706²).

The spelling of 53801266401 in words is "fifty-three billion, eight hundred one million, two hundred sixty-six thousand, four hundred one".