1525362480 has 120 divisors (see below), whose sum is σ = 5130067488. Its totient is φ = 406176768.

The previous prime is 1525362431. The next prime is 1525362491. The reversal of 1525362480 is 842635251.

1525362480 is a `hidden beast` number, since 1 + 5 + 25 + 3 + 624 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764364 + ... + 766356.

Almost surely, 2^1525362480 is an apocalyptic number.

1525362480 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 1525362480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565033744).

1525362480 is an abundant number, since it is smaller than the sum of its proper divisors (3604705008).

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

1525362480 is a wasteful number, since it uses less digits than its factorization.

1525362480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1525362480 is about 39055.8891846031. The cubic root of 1525362480 is about 1151.1299492497.

The spelling of 1525362480 in words is "one billion, five hundred twenty-five million, three hundred sixty-two thousand, four hundred eighty".