1051773313600 has 63 divisors (see below), whose sum is σ = 2588120654457. Its totient is φ = 420692916480.

The previous prime is 1051773313597. The next prime is 1051773313637. The reversal of 1051773313600 is 63133771501.

The square root of 1051773313600 is 1025560.

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., 378638392896 + 673134920704 = 615336^2 + 820448^2 .

It is a super-2 number, since 2×1051773313600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1051773313600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41009581 + ... + 41035219.

Almost surely, 2^{1051773313600} is an apocalyptic number.

1051773313600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1051773313600 is the 1025560-th square number.

It is an amenable number.

1051773313600 is an abundant number, since it is smaller than the sum of its proper divisors (1536347340857).

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

1051773313600 is an frugal number, since it uses more digits than its factorization.

1051773313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51300 (or 25646 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The spelling of 1051773313600 in words is "one trillion, fifty-one billion, seven hundred seventy-three million, three hundred thirteen thousand, six hundred".