1263790224225 has 72 divisors (see below), whose sum is σ = 2397018056472. Its totient is φ = 634299801600.

The previous prime is 1263790224209. The next prime is 1263790224247. The reversal of 1263790224225 is 5224220973621.

1263790224225 is a `hidden beast` number, since 1 + 2 + 637 + 9 + 0 + 2 + 2 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9775474641 + 1254014749584 = 98871^2 + 1119828^2 .

It is not a de Polignac number, because 1263790224225 - 2⁴ = 1263790224209 is a prime.

It is a super-3 number, since 3×1263790224225³ (a number of 37 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50634349 + ... + 50659301.

It is an arithmetic number, because the mean of its divisors is an integer number (33291917451).

Almost surely, 2^{1263790224225} is an apocalyptic number.

1263790224225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1263790224225 is a deficient number, since it is larger than the sum of its proper divisors (1133227832247).

1263790224225 is a wasteful number, since it uses less digits than its factorization.

1263790224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38227 (or 38219 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1263790224225 in words is "one trillion, two hundred sixty-three billion, seven hundred ninety million, two hundred twenty-four thousand, two hundred twenty-five".