200991440351025 has 27 divisors (see below), whose sum is σ = 359998382943979. Its totient is φ = 107195321436720.

The previous prime is 200991440351011. The next prime is 200991440351057. The reversal of 200991440351025 is 520153044199002.

It is a happy number.

The square root of 200991440351025 is 14177145.

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

200991440351025 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 91 + 4 + 40 + 3 + 510 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72356918526369 + 128634521824656 = 8506287^2 + 11341716^2 .

It is not a de Polignac number, because 200991440351025 - 2¹⁵ = 200991440318257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 212184604 + ... + 213129746.

Almost surely, 2^{200991440351025} is an apocalyptic number.

200991440351025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200991440351025 is the 14177145-th square number.

200991440351025 is the 7088573-rd centered octagonal number.

It is an amenable number.

200991440351025 is a deficient number, since it is larger than the sum of its proper divisors (159006942592954).

200991440351025 is an frugal number, since it uses more digits than its factorization.

200991440351025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890302 (or 945151 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 200991440351025 in words is "two hundred trillion, nine hundred ninety-one billion, four hundred forty million, three hundred fifty-one thousand, twenty-five".