10337028765625 has 105 divisors (see below), whose sum is σ = 13884668973181. Its totient is φ = 7695723200000.

The previous prime is 10337028765617. The next prime is 10337028765653. The reversal of 10337028765625 is 52656782073301.

The square root of 10337028765625 is 3215125.

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

It can be written as a sum of positive squares in 52 ways, for example, as 284299040809 + 10052729724816 = 533197^2 + 3170604^2 .

It is not a de Polignac number, because 10337028765625 - 2³ = 10337028765617 is a prime.

It is a super-2 number, since 2×10337028765625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 116146390581 + ... + 116146390669.

Almost surely, 2^{10337028765625} is an apocalyptic number.

10337028765625 is the 3215125-th square number.

10337028765625 is the 1607563-rd centered octagonal number.

It is an amenable number.

10337028765625 is a deficient number, since it is larger than the sum of its proper divisors (3547640207556).

10337028765625 is an frugal number, since it uses more digits than its factorization.

10337028765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 10337028765625 in words is "ten trillion, three hundred thirty-seven billion, twenty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".