10251990708129 has 27 divisors (see below), whose sum is σ = 14964029113683. Its totient is φ = 6763585295232.

The previous prime is 10251990708119. The next prime is 10251990708131. The reversal of 10251990708129 is 92180709915201.

It is a happy number.

The square root of 10251990708129 is 3201873.

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

10251990708129 is a `hidden beast` number, since 10 + 2 + 519 + 90 + 7 + 0 + 8 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4603534992225 + 5648455715904 = 2145585^2 + 2376648^2 .

It is not a de Polignac number, because 10251990708129 - 2⁹ = 10251990707617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10251990708109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 931739542 + ... + 931750544.

Almost surely, 2^{10251990708129} is an apocalyptic number.

10251990708129 is the 3201873-rd square number.

10251990708129 is the 1600937-th centered octagonal number.

It is an amenable number.

10251990708129 is a deficient number, since it is larger than the sum of its proper divisors (4712038405554).

10251990708129 is an frugal number, since it uses more digits than its factorization.

10251990708129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22206 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 10251990708129 in words is "ten trillion, two hundred fifty-one billion, nine hundred ninety million, seven hundred eight thousand, one hundred twenty-nine".