1256348025 has 81 divisors (see below), whose sum is σ = 2407734381. Its totient is φ = 626100480.

The previous prime is 1256347993. The next prime is 1256348081. The reversal of 1256348025 is 5208436521.

The square root of 1256348025 is 35445.

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

1256348025 is a `hidden beast` number, since 12 + 5 + 634 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29387241 + 1226960784 = 5421^2 + 35028^2 .

It is not a de Polignac number, because 1256348025 - 2⁵ = 1256347993 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, 9038406 + ... + 9038544.

Almost surely, 2^1256348025 is an apocalyptic number.

1256348025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1256348025 is the 35445-th square number.

1256348025 is the 17723-rd centered octagonal number.

It is an amenable number.

1256348025 is a deficient number, since it is larger than the sum of its proper divisors (1151386356).

1256348025 is a wasteful number, since it uses less digits than its factorization.

1256348025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 1256348025 is about 1079.0377875308.

Multiplying 1256348025 by its sum of digits (36), we get a square (45228528900 = 212670²).

Multiplying 1256348025 by its product of nonzero digits (57600), we get a square (72365646240000 = 8506800²).

It can be divided in two parts, 1256 and 348025, that added together give a square (349281 = 591²).

The spelling of 1256348025 in words is "one billion, two hundred fifty-six million, three hundred forty-eight thousand, twenty-five".