203824257961 has 9 divisors (see below), whose sum is σ = 216527347749. Its totient is φ = 191827372224.

The previous prime is 203824257947. The next prime is 203824257991. The reversal of 203824257961 is 169752428302.

It is a happy number.

The square root of 203824257961 is 451469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12172929561 + 191651328400 = 110331^2 + 437780^2 .

It is not a de Polignac number, because 203824257961 - 2⁹ = 203824257449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203824257941) 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, 7661695 + ... + 7688251.

It is a 1-persistent number, because it is pandigital, but 2⋅203824257961 = 407648515922 is not.

Almost surely, 2^203824257961 is an apocalyptic number.

203824257961 is the 451469-th square number.

203824257961 is the 225735-th centered octagonal number.

It is an amenable number.

203824257961 is a deficient number, since it is larger than the sum of its proper divisors (12703089788).

203824257961 is an frugal number, since it uses more digits than its factorization.

203824257961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53148 (or 26574 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 203824257961 by its sum of digits (49), we get a square (9987388640089 = 3160283²).

The spelling of 203824257961 in words is "two hundred three billion, eight hundred twenty-four million, two hundred fifty-seven thousand, nine hundred sixty-one".