53782711921 has 9 divisors (see below), whose sum is σ = 55581033099. Its totient is φ = 52040828400.

The previous prime is 53782711919. The next prime is 53782711937. The reversal of 53782711921 is 12911728735.

The square root of 53782711921 is 231911.

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., 46672849521 + 7109862400 = 216039^2 + 84320^2 .

It is not a de Polignac number, because 53782711921 - 2¹ = 53782711919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53782711621) 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, 7185501 + ... + 7192981.

Almost surely, 2^53782711921 is an apocalyptic number.

53782711921 is the 231911-st square number.

53782711921 is the 115956-th centered octagonal number.

It is an amenable number.

53782711921 is a deficient number, since it is larger than the sum of its proper divisors (1798321178).

53782711921 is an frugal number, since it uses more digits than its factorization.

53782711921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024 (or 7512 counting only the distinct ones).

The product of its digits is 211680, while the sum is 46.

It can be divided in two parts, 53782 and 711921, that added together give a triangular number (765703 = T₁₂₃₇).

The spelling of 53782711921 in words is "fifty-three billion, seven hundred eighty-two million, seven hundred eleven thousand, nine hundred twenty-one".