1261277952 has 144 divisors (see below), whose sum is σ = 3687441408. Its totient is φ = 379555840.

The previous prime is 1261277939. The next prime is 1261277977. The reversal of 1261277952 is 2597721621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461073 + ... + 1461935.

It is an arithmetic number, because the mean of its divisors is an integer number (25607232).

Almost surely, 2^1261277952 is an apocalyptic number.

1261277952 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 1261277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843720704).

1261277952 is an abundant number, since it is smaller than the sum of its proper divisors (2426163456).

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

1261277952 is a wasteful number, since it uses less digits than its factorization.

1261277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 1261277952 is about 35514.4752460176. The cubic root of 1261277952 is about 1080.4473318381.

The spelling of 1261277952 in words is "one billion, two hundred sixty-one million, two hundred seventy-seven thousand, nine hundred fifty-two".