1997333210772 has 36 divisors (see below), whose sum is σ = 5048861926836. Its totient is φ = 665771483520.

The previous prime is 1997333210737. The next prime is 1997333210777. The reversal of 1997333210772 is 2770123337991.

1997333210772 is a `hidden beast` number, since 1 + 9 + 97 + 333 + 210 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1603044660996 + 394288549776 = 1266114^2 + 627924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997333210777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5183818 + ... + 5555774.

Almost surely, 2^{1997333210772} is an apocalyptic number.

1997333210772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1997333210772 is an abundant number, since it is smaller than the sum of its proper divisors (3051528716064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1997333210772 is a wasteful number, since it uses less digits than its factorization.

1997333210772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521128 (or 521123 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 1997333210772 in words is "one trillion, nine hundred ninety-seven billion, three hundred thirty-three million, two hundred ten thousand, seven hundred seventy-two".