53958853057561 has 9 divisors (see below), whose sum is σ = 54244249679893. Its totient is φ = 53674950296380.

The previous prime is 53958853057547. The next prime is 53958853057621. The reversal of 53958853057561 is 16575035885935.

The square root of 53958853057561 is 7345669.

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

It is not a de Polignac number, because 53958853057561 - 2³³ = 53950263122969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53958853037561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1403003550 + ... + 1403042008.

Almost surely, 2^{53958853057561} is an apocalyptic number.

53958853057561 is the 7345669-th square number.

53958853057561 is the 3672835-th centered octagonal number.

It is an amenable number.

53958853057561 is a deficient number, since it is larger than the sum of its proper divisors (285396622332).

53958853057561 is an frugal number, since it uses more digits than its factorization.

53958853057561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77300 (or 38650 counting only the distinct ones).

The product of its (nonzero) digits is 680400000, while the sum is 70.

The spelling of 53958853057561 in words is "fifty-three trillion, nine hundred fifty-eight billion, eight hundred fifty-three million, fifty-seven thousand, five hundred sixty-one".