53587157121 has 75 divisors (see below), whose sum is σ = 86019402271. Its totient is φ = 33245524224.

The previous prime is 53587157051. The next prime is 53587157149. The reversal of 53587157121 is 12175178535.

The square root of 53587157121 is 231489.

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

53587157121 is a `hidden beast` number, since 5 + 3 + 5 + 8 + 71 + 571 + 2 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 13523131521 + 40064025600 = 116289^2 + 200160^2 .

It is not a de Polignac number, because 53587157121 - 2¹³ = 53587148929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53587157321) 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 74 ways as a sum of consecutive naturals, for example, 602102845 + ... + 602102933.

Almost surely, 2^53587157121 is an apocalyptic number.

53587157121 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

53587157121 is the 231489-th square number.

53587157121 is the 115745-th centered octagonal number.

It is an amenable number.

53587157121 is a deficient number, since it is larger than the sum of its proper divisors (32432245150).

53587157121 is an frugal number, since it uses more digits than its factorization.

53587157121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 109 counting only the distinct ones).

The product of its digits is 294000, while the sum is 45.

The spelling of 53587157121 in words is "fifty-three billion, five hundred eighty-seven million, one hundred fifty-seven thousand, one hundred twenty-one".