1525688064 has 216 divisors, whose sum is σ = 4660516224. Its totient is φ = 479232000.

The previous prime is 1525688041. The next prime is 1525688077. The reversal of 1525688064 is 4608865251.

1525688064 is a `hidden beast` number, since 1 + 5 + 2 + 568 + 80 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2928124 + ... + 2928644.

It is an arithmetic number, because the mean of its divisors is an integer number (21576464).

Almost surely, 2^1525688064 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 1525688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330258112).

1525688064 is an abundant number, since it is smaller than the sum of its proper divisors (3134828160).

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

1525688064 is a wasteful number, since it uses less digits than its factorization.

1525688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1525688064 is about 39060.0571428153. The cubic root of 1525688064 is about 1151.2118451565.

The spelling of 1525688064 in words is "one billion, five hundred twenty-five million, six hundred eighty-eight thousand, sixty-four".