10497528720121 has 3 divisors (see below), whose sum is σ = 10497531960111. Its totient is φ = 10497525480132.

The previous prime is 10497528720047. The next prime is 10497528720127. The reversal of 10497528720121 is 12102782579401.

The square root of 10497528720121 is 3239989.

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

10497528720121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 601848572521 + 9895680147600 = 775789^2 + 3145740^2 .

It is not a de Polignac number, because 10497528720121 - 2⁹ = 10497528719609 is a prime.

It is a super-2 number, since 2×10497528720121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10497528720127) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1619995 + ... + 4859983.

It is an arithmetic number, because the mean of its divisors is an integer number (3499177320037).

Almost surely, 2^{10497528720121} is an apocalyptic number.

10497528720121 is the 3239989-th square number.

10497528720121 is the 1619995-th centered octagonal number.

It is an amenable number.

10497528720121 is a deficient number, since it is larger than the sum of its proper divisors (3239990).

10497528720121 is an frugal number, since it uses more digits than its factorization.

10497528720121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479978 (or 3239989 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

Multiplying 10497528720121 by its sum of digits (49), we get a square (514378907285929 = 22679923²).

The spelling of 10497528720121 in words is "ten trillion, four hundred ninety-seven billion, five hundred twenty-eight million, seven hundred twenty thousand, one hundred twenty-one".