1534510080 has 132 divisors (see below), whose sum is σ = 5317197132. Its totient is φ = 409190400.

The previous prime is 1534510063. The next prime is 1534510111. The reversal of 1534510080 is 800154351.

1534510080 is a `hidden beast` number, since 1 + 534 + 51 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 791184384 + 743325696 = 28128^2 + 27264^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29430 + ... + 62730.

Almost surely, 2^1534510080 is an apocalyptic number.

1534510080 is a gapful number since it is divisible by the number (10) 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 1534510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658598566).

1534510080 is an abundant number, since it is smaller than the sum of its proper divisors (3782687052).

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

1534510080 is a wasteful number, since it uses less digits than its factorization.

1534510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33332 (or 33311 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1534510080 is about 39172.8232324401. The cubic root of 1534510080 is about 1153.4264736687.

It can be divided in two parts, 15345 and 10080, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 1534510080 in words is "one billion, five hundred thirty-four million, five hundred ten thousand, eighty".