1531078848 has 168 divisors, whose sum is σ = 4901832208. Its totient is φ = 471038976.

The previous prime is 1531078831. The next prime is 1531078849. The reversal of 1531078848 is 8488701351.

It is a happy number.

1531078848 is a `hidden beast` number, since 1 + 531 + 0 + 78 + 8 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (1531078849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198390 + ... + 205962.

Almost surely, 2^1531078848 is an apocalyptic number.

1531078848 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 1531078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450916104).

1531078848 is an abundant number, since it is smaller than the sum of its proper divisors (3370753360).

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

1531078848 is an equidigital number, since it uses as much as digits as its factorization.

1531078848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1531078848 is about 39129.0026450969. The cubic root of 1531078848 is about 1152.5661279918.

The spelling of 1531078848 in words is "one billion, five hundred thirty-one million, seventy-eight thousand, eight hundred forty-eight".