1267253541450 has 528 divisors, whose sum is σ = 3851295048216. Its totient is φ = 308377497600.

The previous prime is 1267253541343. The next prime is 1267253541457. The reversal of 1267253541450 is 541453527621.

1267253541450 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 53 + 541 + 4 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 66723539481 + 1200530001969 = 258309^2 + 1095687^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1267253541396 and 1267253541405.

It is not an unprimeable number, because it can be changed into a prime (1267253541457) 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 263 ways as a sum of consecutive naturals, for example, 5258313330 + ... + 5258313570.

Almost surely, 2^{1267253541450} is an apocalyptic number.

1267253541450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267253541450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925647524108).

1267253541450 is an abundant number, since it is smaller than the sum of its proper divisors (2584041506766).

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

1267253541450 is a wasteful number, since it uses less digits than its factorization.

1267253541450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1267253541450 in words is "one trillion, two hundred sixty-seven billion, two hundred fifty-three million, five hundred forty-one thousand, four hundred fifty".