1290895552 has 56 divisors (see below), whose sum is σ = 2660245632. Its totient is φ = 620851200.

The previous prime is 1290895547. The next prime is 1290895559. The reversal of 1290895552 is 2555980921.

It is a happy number.

It is a super-2 number, since 2×1290895552² = 3332822652346769408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1290895559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341352 + ... + 345112.

Almost surely, 2^1290895552 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 1290895552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330122816).

1290895552 is an abundant number, since it is smaller than the sum of its proper divisors (1369350080).

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

1290895552 is a wasteful number, since it uses less digits than its factorization.

1290895552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 46.

The square root of 1290895552 is about 35929.0349439002. The cubic root of 1290895552 is about 1088.8390838312.

The spelling of 1290895552 in words is "one billion, two hundred ninety million, eight hundred ninety-five thousand, five hundred fifty-two".