10252810404001 has 27 divisors (see below), whose sum is σ = 11972231164243. Its totient is φ = 8771945779520.

The previous prime is 10252810403897. The next prime is 10252810404007. The reversal of 10252810404001 is 10040401825201.

The square root of 10252810404001 is 3202001.

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

It can be written as a sum of positive squares in only one way, i.e., 7982291837025 + 2270518566976 = 2825295^2 + 1506824^2 .

It is not a de Polignac number, because 10252810404001 - 2⁹ = 10252810403489 is a prime.

It is a super-3 number, since 3×10252810404001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10252810404007) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 598765626 + ... + 598782748.

Almost surely, 2^{10252810404001} is an apocalyptic number.

10252810404001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10252810404001 is the 3202001-st square number.

10252810404001 is the 1601001-st centered octagonal number.

It is an amenable number.

10252810404001 is a deficient number, since it is larger than the sum of its proper divisors (1719420760242).

10252810404001 is an frugal number, since it uses more digits than its factorization.

10252810404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34302 (or 17151 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 10252810404001 in words is "ten trillion, two hundred fifty-two billion, eight hundred ten million, four hundred four thousand, one".