10274364783225 has 81 divisors (see below), whose sum is σ = 18602645790573. Its totient is φ = 5420708144640.

The previous prime is 10274364783203. The next prime is 10274364783257. The reversal of 10274364783225 is 52238746347201.

The square root of 10274364783225 is 3205365.

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

10274364783225 is a `hidden beast` number, since 1 + 0 + 274 + 3 + 6 + 47 + 8 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377778641769 + 9896586141456 = 614637^2 + 3145884^2 .

It is not a de Polignac number, because 10274364783225 - 2⁴³ = 1478271761017 is a prime.

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, 4663804974 + ... + 4663807176.

Almost surely, 2^{10274364783225} is an apocalyptic number.

10274364783225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10274364783225 is the 3205365-th square number.

10274364783225 is the 1602683-rd centered octagonal number.

It is an amenable number.

10274364783225 is a deficient number, since it is larger than the sum of its proper divisors (8328281007348).

10274364783225 is an frugal number, since it uses more digits than its factorization.

10274364783225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 10274364783225 in words is "ten trillion, two hundred seventy-four billion, three hundred sixty-four million, seven hundred eighty-three thousand, two hundred twenty-five".