1531561248 has 108 divisors (see below), whose sum is σ = 5066505990. Its totient is φ = 437584896.

The previous prime is 1531561247. The next prime is 1531561267. The reversal of 1531561248 is 8421651351.

1531561248 is a `hidden beast` number, since 1 + 5 + 31 + 5 + 612 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 950365584 + 581195664 = 30828^2 + 24108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531561247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40153 + ... + 68376.

Almost surely, 2^1531561248 is an apocalyptic number.

1531561248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1531561248 is an abundant number, since it is smaller than the sum of its proper divisors (3534944742).

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

1531561248 is a wasteful number, since it uses less digits than its factorization.

1531561248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108559 (or 108541 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1531561248 is about 39135.1663852346. The cubic root of 1531561248 is about 1152.6871623675.

The spelling of 1531561248 in words is "one billion, five hundred thirty-one million, five hundred sixty-one thousand, two hundred forty-eight".