10153724893081 has 81 divisors (see below), whose sum is σ = 13455413396607. Its totient is φ = 7633812758880.

The previous prime is 10153724893069. The next prime is 10153724893097. The reversal of 10153724893081 is 18039842735101.

The square root of 10153724893081 is 3186491.

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., 5324367036681 + 4829357856400 = 2307459^2 + 2197580^2 .

It is not a de Polignac number, because 10153724893081 - 2²⁹ = 10153188022169 is a prime.

It is a super-2 number, since 2×10153724893081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10153724893001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7115433690 + ... + 7115435116.

Almost surely, 2^{10153724893081} is an apocalyptic number.

10153724893081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10153724893081 is the 3186491-st square number.

10153724893081 is the 1593246-th centered octagonal number.

It is an amenable number.

10153724893081 is a deficient number, since it is larger than the sum of its proper divisors (3301688503526).

10153724893081 is an frugal number, since it uses more digits than its factorization.

10153724893081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 10153724893081 in words is "ten trillion, one hundred fifty-three billion, seven hundred twenty-four million, eight hundred ninety-three thousand, eighty-one".