53916375601 has 45 divisors (see below), whose sum is σ = 63219259515. Its totient is φ = 45975402000.

The previous prime is 53916375581. The next prime is 53916375607. The reversal of 53916375601 is 10657361935.

The square root of 53916375601 is 232199.

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., 51802215201 + 2114160400 = 227601^2 + 45980^2 .

It is not a de Polignac number, because 53916375601 - 2¹⁵ = 53916342833 is a prime.

It is a super-2 number, since 2×53916375601² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53916375607) 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 44 ways as a sum of consecutive naturals, for example, 533825451 + ... + 533825551.

Almost surely, 2^53916375601 is an apocalyptic number.

53916375601 is the 232199-th square number.

53916375601 is the 116100-th centered octagonal number.

It is an amenable number.

53916375601 is a deficient number, since it is larger than the sum of its proper divisors (9302883914).

53916375601 is an frugal number, since it uses more digits than its factorization.

53916375601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The spelling of 53916375601 in words is "fifty-three billion, nine hundred sixteen million, three hundred seventy-five thousand, six hundred one".