10742956746025 has 81 divisors (see below), whose sum is σ = 15932596633317. Its totient is φ = 7164669758400.

The previous prime is 10742956746007. The next prime is 10742956746043. The reversal of 10742956746025 is 52064765924701.

The square root of 10742956746025 is 3277645.

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

It is an interprime number because it is at equal distance from previous prime (10742956746007) and next prime (10742956746043).

It can be written as a sum of positive squares in 4 ways, for example, as 1019835397161 + 9723121348864 = 1009869^2 + 3118192^2 .

It is not a de Polignac number, because 10742956746025 - 2²⁷ = 10742822528297 is a prime.

It is a super-2 number, since 2×10742956746025² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4244549010 + ... + 4244551540.

Almost surely, 2^{10742956746025} is an apocalyptic number.

10742956746025 is the 3277645-th square number.

10742956746025 is the 1638823-rd centered octagonal number.

It is an amenable number.

10742956746025 is a deficient number, since it is larger than the sum of its proper divisors (5189639887292).

10742956746025 is an frugal number, since it uses more digits than its factorization.

10742956746025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 10742956746025 in words is "ten trillion, seven hundred forty-two billion, nine hundred fifty-six million, seven hundred forty-six thousand, twenty-five".