1049856390625 has 63 divisors (see below), whose sum is σ = 1527862103271. Its totient is φ = 719286750000.

The previous prime is 1049856390581. The next prime is 1049856390637. The reversal of 1049856390625 is 5260936589401.

The square root of 1049856390625 is 1024625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 919774984401 + 130081406224 = 959049^2 + 360668^2 .

It is not a de Polignac number, because 1049856390625 - 2⁹ = 1049856390113 is a prime.

It is a super-2 number, since 2×1049856390625² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049856390625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 896546290 + ... + 896547460.

It is an arithmetic number, because the mean of its divisors is an integer number (24251779417).

Almost surely, 2^{1049856390625} is an apocalyptic number.

1049856390625 is the 1024625-th square number.

1049856390625 is the 512313-rd centered octagonal number.

It is an amenable number.

1049856390625 is a deficient number, since it is larger than the sum of its proper divisors (478005712646).

1049856390625 is an frugal number, since it uses more digits than its factorization.

1049856390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 1049856390625 in words is "one trillion, forty-nine billion, eight hundred fifty-six million, three hundred ninety thousand, six hundred twenty-five".