1525461120 has 256 divisors, whose sum is σ = 5531011200. Its totient is φ = 397135872.

The previous prime is 1525461109. The next prime is 1525461139. The reversal of 1525461120 is 211645251.

1525461120 is a `hidden beast` number, since 1 + 5 + 2 + 546 + 112 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 742014 + ... + 744066.

Almost surely, 2^1525461120 is an apocalyptic number.

1525461120 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 1525461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765505600).

1525461120 is an abundant number, since it is smaller than the sum of its proper divisors (4005550080).

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

1525461120 is a wasteful number, since it uses less digits than its factorization.

1525461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2106 counting only the distinct ones).

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

The square root of 1525461120 is about 39057.1519699017. The cubic root of 1525461120 is about 1151.1547619335.

The spelling of 1525461120 in words is "one billion, five hundred twenty-five million, four hundred sixty-one thousand, one hundred twenty".