53842097521 has 9 divisors (see below), whose sum is σ = 55023193099. Its totient is φ = 52685847184.

The previous prime is 53842097509. The next prime is 53842097579. The reversal of 53842097521 is 12579024835.

The square root of 53842097521 is 232039.

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

53842097521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23404410225 + 30437687296 = 152985^2 + 174464^2 .

It is not a de Polignac number, because 53842097521 - 2¹⁵ = 53842064753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53842097921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10903365 + ... + 10908301.

Almost surely, 2^53842097521 is an apocalyptic number.

53842097521 is the 232039-th square number.

53842097521 is the 116020-th centered octagonal number.

It is an amenable number.

53842097521 is a deficient number, since it is larger than the sum of its proper divisors (1181095578).

53842097521 is an frugal number, since it uses more digits than its factorization.

53842097521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 53842097521 in words is "fifty-three billion, eight hundred forty-two million, ninety-seven thousand, five hundred twenty-one".