10284137058321 has 135 divisors (see below), whose sum is σ = 18075085059339. Its totient is φ = 5810267145312.

The previous prime is 10284137058311. The next prime is 10284137058341. The reversal of 10284137058321 is 12385073148201.

The square root of 10284137058321 is 3206889.

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

10284137058321 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 41 + 3 + 7 + 0 + 583 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7167994190721 + 3116142867600 = 2677311^2 + 1765260^2 .

It is not a de Polignac number, because 10284137058321 - 2⁴¹ = 8085113802769 is a prime.

It is a super-2 number, since 2×10284137058321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10284137058311) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22021706530 + ... + 22021706996.

Almost surely, 2^{10284137058321} is an apocalyptic number.

10284137058321 is the 3206889-th square number.

10284137058321 is the 1603445-th centered octagonal number.

It is an amenable number.

10284137058321 is a deficient number, since it is larger than the sum of its proper divisors (7790948001018).

10284137058321 is an frugal number, since it uses more digits than its factorization.

10284137058321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10284137058321 in words is "ten trillion, two hundred eighty-four billion, one hundred thirty-seven million, fifty-eight thousand, three hundred twenty-one".