10737582080625 has 45 divisors (see below), whose sum is σ = 19381540647469. Its totient is φ = 5726579370000.

The previous prime is 10737582080579. The next prime is 10737582080671. The reversal of 10737582080625 is 52608028573701.

The square root of 10737582080625 is 3276825.

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

10737582080625 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 5 + 8 + 2 + 0 + 8 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (10737582080579) and next prime (10737582080671).

It can be written as a sum of positive squares in 2 ways, for example, as 841826435121 + 9895755645504 = 917511^2 + 3145752^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10737582080625 - 2¹¹ = 10737582078577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 245740030 + ... + 245783720.

Almost surely, 2^{10737582080625} is an apocalyptic number.

10737582080625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10737582080625 is the 3276825-th square number.

10737582080625 is the 1638413-rd centered octagonal number.

It is an amenable number.

10737582080625 is a deficient number, since it is larger than the sum of its proper divisors (8643958566844).

10737582080625 is an frugal number, since it uses more digits than its factorization.

10737582080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87408 (or 43699 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10737582080625 in words is "ten trillion, seven hundred thirty-seven billion, five hundred eighty-two million, eighty thousand, six hundred twenty-five".