53753958801 has 63 divisors (see below), whose sum is σ = 83579470443. Its totient is φ = 34554774960.

The previous prime is 53753958763. The next prime is 53753958803. The reversal of 53753958801 is 10885935735.

The square root of 53753958801 is 231849.

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

53753958801 is a `hidden beast` number, since 5 + 3 + 7 + 53 + 9 + 588 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9265025025 + 44488933776 = 96255^2 + 210924^2 .

It is not a de Polignac number, because 53753958801 - 2¹⁹ = 53753434513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53753958803) 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 62 ways as a sum of consecutive naturals, for example, 194057475 + ... + 194057751.

It is an arithmetic number, because the mean of its divisors is an integer number (1326658261).

Almost surely, 2^53753958801 is an apocalyptic number.

53753958801 is the 231849-th square number.

53753958801 is the 115925-th centered octagonal number.

It is an amenable number.

53753958801 is a deficient number, since it is larger than the sum of its proper divisors (29825511642).

53753958801 is an frugal number, since it uses more digits than its factorization.

53753958801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 53753958801 in words is "fifty-three billion, seven hundred fifty-three million, nine hundred fifty-eight thousand, eight hundred one".