1293877552 has 80 divisors (see below), whose sum is σ = 2834818560. Its totient is φ = 567008000.

The previous prime is 1293877513. The next prime is 1293877573. The reversal of 1293877552 is 2557783921.

It is a junction number, because it is equal to n+sod(n) for n = 1293877496 and 1293877505.

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, 549177 + ... + 551527.

It is an arithmetic number, because the mean of its divisors is an integer number (35435232).

Almost surely, 2^1293877552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293877552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1293877552 is an abundant number, since it is smaller than the sum of its proper divisors (1540941008).

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

1293877552 is a wasteful number, since it uses less digits than its factorization.

1293877552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 49.

The square root of 1293877552 is about 35970.5094765142. The cubic root of 1293877552 is about 1089.6768539599.

The spelling of 1293877552 in words is "one billion, two hundred ninety-three million, eight hundred seventy-seven thousand, five hundred fifty-two".