1051683066256 has 45 divisors (see below), whose sum is σ = 2045766981153. Its totient is φ = 523751531520.

The previous prime is 1051683066253. The next prime is 1051683066257. The reversal of 1051683066256 is 6526603861501.

The square root of 1051683066256 is 1025516.

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., 642697235856 + 408985830400 = 801684^2 + 639520^2 .

It is a super-2 number, since 2×1051683066256² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1051683066253) 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, 1841826451 + ... + 1841827021.

Almost surely, 2^{1051683066256} is an apocalyptic number.

1051683066256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1051683066256 is the 1025516-th square number.

It is an amenable number.

1051683066256 is a deficient number, since it is larger than the sum of its proper divisors (994083914897).

1051683066256 is an frugal number, since it uses more digits than its factorization.

1051683066256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 1051683066256 by its sum of digits (49), we get a square (51532470246544 = 7178612²).

The spelling of 1051683066256 in words is "one trillion, fifty-one billion, six hundred eighty-three million, sixty-six thousand, two hundred fifty-six".