1253761681225 has 27 divisors (see below), whose sum is σ = 1562864517237. Its totient is φ = 997746684480.

The previous prime is 1253761681217. The next prime is 1253761681247. The reversal of 1253761681225 is 5221861673521.

The square root of 1253761681225 is 1119715.

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 515117692089 + 738643989136 = 717717^2 + 859444^2 .

It is not a de Polignac number, because 1253761681225 - 2³ = 1253761681217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1338058957 + ... + 1338059893.

Almost surely, 2^{1253761681225} is an apocalyptic number.

1253761681225 is the 1119715-th square number.

1253761681225 is the 559858-th centered octagonal number.

It is an amenable number.

1253761681225 is a deficient number, since it is larger than the sum of its proper divisors (309102836012).

1253761681225 is an frugal number, since it uses more digits than its factorization.

1253761681225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

Multiplying 1253761681225 by its sum of digits (49), we get a square (61434322380025 = 7838005²).

The spelling of 1253761681225 in words is "one trillion, two hundred fifty-three billion, seven hundred sixty-one million, six hundred eighty-one thousand, two hundred twenty-five".