10724937261025 has 27 divisors (see below), whose sum is σ = 14400893895129. Its totient is φ = 7919796474720.

The previous prime is 10724937261011. The next prime is 10724937261079. The reversal of 10724937261025 is 52016273942701.

The square root of 10724937261025 is 3274895.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2764368444321 + 7960568816704 = 1662639^2 + 2821448^2 .

It is not a de Polignac number, because 10724937261025 - 2²³ = 10724928872417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10724937261025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 212842984 + ... + 212893366.

Almost surely, 2^{10724937261025} is an apocalyptic number.

10724937261025 is the 3274895-th square number.

10724937261025 is the 1637448-th centered octagonal number.

It is an amenable number.

10724937261025 is a deficient number, since it is larger than the sum of its proper divisors (3675956634104).

10724937261025 is an frugal number, since it uses more digits than its factorization.

10724937261025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100802 (or 50401 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 10724937261025 by its sum of digits (49), we get a square (525521925790225 = 22924265²).

The spelling of 10724937261025 in words is "ten trillion, seven hundred twenty-four billion, nine hundred thirty-seven million, two hundred sixty-one thousand, twenty-five".