10319481636025 has 27 divisors (see below), whose sum is σ = 12980357663853. Its totient is φ = 8138409988800.

The previous prime is 10319481636011. The next prime is 10319481636029. The reversal of 10319481636025 is 52063618491301.

The square root of 10319481636025 is 3212395.

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 490780110249 + 9828701525776 = 700557^2 + 3135076^2 .

It is not a de Polignac number, because 10319481636025 - 2²³ = 10319473247417 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 10319481636025.

It is not an unprimeable number, because it can be changed into a prime (10319481636029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1140395701 + ... + 1140404749.

Almost surely, 2^{10319481636025} is an apocalyptic number.

10319481636025 is the 3212395-th square number.

10319481636025 is the 1606198-th centered octagonal number.

It is an amenable number.

10319481636025 is a deficient number, since it is larger than the sum of its proper divisors (2660876027828).

10319481636025 is an frugal number, since it uses more digits than its factorization.

10319481636025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 10319481636025 by its sum of digits (49), we get a square (505654600165225 = 22486765²).

The spelling of 10319481636025 in words is "ten trillion, three hundred nineteen billion, four hundred eighty-one million, six hundred thirty-six thousand, twenty-five".