51573955801 has 27 divisors (see below), whose sum is σ = 55036381309. Its totient is φ = 48326667200.

The previous prime is 51573955787. The next prime is 51573955933. The reversal of 51573955801 is 10855937515.

The square root of 51573955801 is 227099.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13619123401 + 37954832400 = 116701^2 + 194820^2 .

It is not a de Polignac number, because 51573955801 - 2²¹ = 51571858649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51573953801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 270020616 + ... + 270020806.

Almost surely, 2^51573955801 is an apocalyptic number.

51573955801 is the 227099-th square number.

51573955801 is the 113550-th centered octagonal number.

It is an amenable number.

51573955801 is a deficient number, since it is larger than the sum of its proper divisors (3462425508).

51573955801 is an frugal number, since it uses more digits than its factorization.

51573955801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 49.

Multiplying 51573955801 by its sum of digits (49), we get a square (2527123834249 = 1589693²).

The spelling of 51573955801 in words is "fifty-one billion, five hundred seventy-three million, nine hundred fifty-five thousand, eight hundred one".