1037513365056 has 945 divisors, whose sum is σ = 3742364803419. Its totient is φ = 283378217472.

The previous prime is 1037513365033. The next prime is 1037513365093. The reversal of 1037513365056 is 6505633157301.

The square root of 1037513365056 is 1018584.

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

1037513365056 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 5 + 133 + 6 + 505 + 6 = 666.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 22074752425 + ... + 22074752471.

Almost surely, 2^{1037513365056} is an apocalyptic number.

1037513365056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1037513365056 is the 1018584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1037513365056

1037513365056 is an abundant number, since it is smaller than the sum of its proper divisors (2704851438363).

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

1037513365056 is an frugal number, since it uses more digits than its factorization.

1037513365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 1037513365056 in words is "one trillion, thirty-seven billion, five hundred thirteen million, three hundred sixty-five thousand, fifty-six".