203632880049 has 27 divisors (see below), whose sum is σ = 295667594859. Its totient is φ = 135052194960.

The previous prime is 203632880023. The next prime is 203632880081. The reversal of 203632880049 is 940088236302.

The square root of 203632880049 is 451257.

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

203632880049 is a `hidden beast` number, since 2 + 0 + 3 + 632 + 8 + 8 + 0 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149464972449 + 54167907600 = 386607^2 + 232740^2 .

It is not a de Polignac number, because 203632880049 - 2⁷ = 203632879921 is a prime.

It is a super-3 number, since 3×203632880049³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203632879986 and 203632880013.

It is not an unprimeable number, because it can be changed into a prime (203632860049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472465864 + ... + 472466294.

Almost surely, 2^203632880049 is an apocalyptic number.

203632880049 is the 451257-th square number.

203632880049 is the 225629-th centered octagonal number.

It is an amenable number.

203632880049 is a deficient number, since it is larger than the sum of its proper divisors (92034714810).

203632880049 is an frugal number, since it uses more digits than its factorization.

203632880049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 203632 and 880049, that added together give a square (1083681 = 1041²).

The spelling of 203632880049 in words is "two hundred three billion, six hundred thirty-two million, eight hundred eighty thousand, forty-nine".