10215751329 has 27 divisors (see below), whose sum is σ = 17168809203. Its totient is φ = 5836359312.

The previous prime is 10215751321. The next prime is 10215751339. The reversal of 10215751329 is 92315751201.

The square root of 10215751329 is 101073.

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

10215751329 is a `hidden beast` number, since 102 + 15 + 7 + 513 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7650126225 + 2565625104 = 87465^2 + 50652^2 .

It is not a de Polignac number, because 10215751329 - 2³ = 10215751321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10215751293 and 10215751302.

It is not an unprimeable number, because it can be changed into a prime (10215751321) 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, 2120127 + ... + 2124939.

Almost surely, 2^10215751329 is an apocalyptic number.

10215751329 is the 101073-rd square number.

10215751329 is the 50537-th centered octagonal number.

It is an amenable number.

10215751329 is a deficient number, since it is larger than the sum of its proper divisors (6953057874).

10215751329 is an frugal number, since it uses more digits than its factorization.

10215751329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 10215751329 by its sum of digits (36), we get a square (367767047844 = 606438²).

The spelling of 10215751329 in words is "ten billion, two hundred fifteen million, seven hundred fifty-one thousand, three hundred twenty-nine".