1266531552 has 576 divisors, whose sum is σ = 4715553024. Its totient is φ = 328458240.

The previous prime is 1266531551. The next prime is 1266531557. The reversal of 1266531552 is 2551356621.

1266531552 is a `hidden beast` number, since 12 + 6 + 65 + 31 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266531551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18903423 + ... + 18903489.

It is an arithmetic number, because the mean of its divisors is an integer number (8186724).

Almost surely, 2^1266531552 is an apocalyptic number.

1266531552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

1266531552 is an abundant number, since it is smaller than the sum of its proper divisors (3449021472).

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

1266531552 is a wasteful number, since it uses less digits than its factorization.

1266531552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1266531552 is about 35588.3625922857. The cubic root of 1266531552 is about 1081.9453826057.

The spelling of 1266531552 in words is "one billion, two hundred sixty-six million, five hundred thirty-one thousand, five hundred fifty-two".