1012355933281 has 81 divisors (see below), whose sum is σ = 1319776767603. Its totient is φ = 773696024640.

The previous prime is 1012355933269. The next prime is 1012355933287. The reversal of 1012355933281 is 1823395532101.

The square root of 1012355933281 is 1006159.

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

It can be written as a sum of positive squares in only one way, i.e., 574662544225 + 437693389056 = 758065^2 + 661584^2 .

It is not a de Polignac number, because 1012355933281 - 2⁵ = 1012355933249 is a prime.

It is a super-2 number, since 2×1012355933281² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012355933287) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5655619650 + ... + 5655619828.

Almost surely, 2^{1012355933281} is an apocalyptic number.

1012355933281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012355933281 is the 1006159-th square number.

1012355933281 is the 503080-th centered octagonal number.

It is an amenable number.

1012355933281 is a deficient number, since it is larger than the sum of its proper divisors (307420834322).

1012355933281 is an frugal number, since it uses more digits than its factorization.

1012355933281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1012355933281 in words is "one trillion, twelve billion, three hundred fifty-five million, nine hundred thirty-three thousand, two hundred eighty-one".