1331953488 has 60 divisors (see below), whose sum is σ = 3740999028. Its totient is φ = 442391040.

The previous prime is 1331953477. The next prime is 1331953507. The reversal of 1331953488 is 8843591331.

1331953488 is a `hidden beast` number, since 1 + 3 + 31 + 9 + 534 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 811566144 + 520387344 = 28488^2 + 22812^2 .

It is a super-2 number, since 2×1331953488² = 3548200188390732288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24006 + ... + 56922.

Almost surely, 2^1331953488 is an apocalyptic number.

1331953488 is a gapful number since it is divisible by the number (18) 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 1331953488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870499514).

1331953488 is an abundant number, since it is smaller than the sum of its proper divisors (2409045540).

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

1331953488 is a wasteful number, since it uses less digits than its factorization.

1331953488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33212 (or 33203 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1331953488 is about 36495.9379657518. The cubic root of 1331953488 is about 1100.2626061728.

The spelling of 1331953488 in words is "one billion, three hundred thirty-one million, nine hundred fifty-three thousand, four hundred eighty-eight".