1253336225625 has 405 divisors, whose sum is σ = 2644216952377. Its totient is φ = 571405560000.

The previous prime is 1253336225623. The next prime is 1253336225653. The reversal of 1253336225625 is 5265226333521.

The square root of 1253336225625 is 1119525.

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

1253336225625 is a `hidden beast` number, since 1 + 2 + 5 + 33 + 36 + 22 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98261560089 + 1155074665536 = 313467^2 + 1074744^2 .

It is not a de Polignac number, because 1253336225625 - 2¹ = 1253336225623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1253336225623) 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 404 ways as a sum of consecutive naturals, for example, 21242986846 + ... + 21242986904.

Almost surely, 2^{1253336225625} is an apocalyptic number.

1253336225625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1253336225625 is the 1119525-th square number.

1253336225625 is the 559763-rd centered octagonal number.

It is an amenable number.

1253336225625 is an abundant number, since it is smaller than the sum of its proper divisors (1390880726752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253336225625 is an equidigital number, since it uses as much as digits as its factorization.

1253336225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 1253336225625 in words is "one trillion, two hundred fifty-three billion, three hundred thirty-six million, two hundred twenty-five thousand, six hundred twenty-five".