1265571216 has 480 divisors, whose sum is σ = 4676089600. Its totient is φ = 329204736.

The previous prime is 1265571211. The next prime is 1265571217. The reversal of 1265571216 is 6121755621.

1265571216 = 158³ + 159³ + ... + 274³.

1265571216 is a `hidden beast` number, since 1 + 2 + 65 + 571 + 21 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1265571211) 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, 17336556 + ... + 17336628.

Almost surely, 2^1265571216 is an apocalyptic number.

1265571216 is a gapful number since it is divisible by the number (16) 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 1265571216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338044800).

1265571216 is an abundant number, since it is smaller than the sum of its proper divisors (3410518384).

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

1265571216 is an equidigital number, since it uses as much as digits as its factorization.

1265571216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1265571216 is about 35574.8677580114. The cubic root of 1265571216 is about 1081.6718550541.

The spelling of 1265571216 in words is "one billion, two hundred sixty-five million, five hundred seventy-one thousand, two hundred sixteen".