1225021735249 has 27 divisors (see below), whose sum is σ = 1400305785489. Its totient is φ = 1071034997760.

The previous prime is 1225021735243. The next prime is 1225021735277. The reversal of 1225021735249 is 9425371205221.

The square root of 1225021735249 is 1106807.

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 9444924225 + 1215576811024 = 97185^2 + 1102532^2 .

It is not a de Polignac number, because 1225021735249 - 2⁷ = 1225021735121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1225021735243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 273379089 + ... + 273383569.

Almost surely, 2^{1225021735249} is an apocalyptic number.

1225021735249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1225021735249 is the 1106807-th square number.

1225021735249 is the 553404-th centered octagonal number.

It is an amenable number.

1225021735249 is a deficient number, since it is larger than the sum of its proper divisors (175284050240).

1225021735249 is an frugal number, since it uses more digits than its factorization.

1225021735249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 1225021735249 in words is "one trillion, two hundred twenty-five billion, twenty-one million, seven hundred thirty-five thousand, two hundred forty-nine".