1525284864 has 144 divisors (see below), whose sum is σ = 4529831040. Its totient is φ = 507248640.

The previous prime is 1525284821. The next prime is 1525284889. The reversal of 1525284864 is 4684825251.

1525284864 is a `hidden beast` number, since 1 + 525 + 28 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538729 + ... + 3539159.

It is an arithmetic number, because the mean of its divisors is an integer number (31457160).

Almost surely, 2^1525284864 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 1525284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915520).

1525284864 is an abundant number, since it is smaller than the sum of its proper divisors (3004546176).

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

1525284864 is an frugal number, since it uses more digits than its factorization.

1525284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 436 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 1525284864 is about 39054.8955189999. The cubic root of 1525284864 is about 1151.1104243567.

The spelling of 1525284864 in words is "one billion, five hundred twenty-five million, two hundred eighty-four thousand, eight hundred sixty-four".