1525234530816 has 480 divisors, whose sum is σ = 4711905918720. Its totient is φ = 492281266176.

The previous prime is 1525234530803. The next prime is 1525234530829. The reversal of 1525234530816 is 6180354325251.

It is a happy number.

1525234530816 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 34 + 530 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1525234530803) and next prime (1525234530829).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567211200 + ... + 567213888.

It is an arithmetic number, because the mean of its divisors is an integer number (9816470664).

Almost surely, 2^{1525234530816} is an apocalyptic number.

1525234530816 is a gapful number since it is divisible by the number (16) 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 1525234530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355952959360).

1525234530816 is an abundant number, since it is smaller than the sum of its proper divisors (3186671387904).

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

1525234530816 is an frugal number, since it uses more digits than its factorization.

1525234530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1525234530816 in words is "one trillion, five hundred twenty-five billion, two hundred thirty-four million, five hundred thirty thousand, eight hundred sixteen".