1525253305320 has 320 divisors, whose sum is σ = 5210682048000. Its totient is φ = 400085360640.

The previous prime is 1525253305259. The next prime is 1525253305349. The reversal of 1525253305320 is 235033525251.

1525253305320 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 25 + 3 + 305 + 320 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103280577 + ... + 103295343.

It is an arithmetic number, because the mean of its divisors is an integer number (16283381400).

Almost surely, 2^{1525253305320} is an apocalyptic number.

1525253305320 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 1525253305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605341024000).

1525253305320 is an abundant number, since it is smaller than the sum of its proper divisors (3685428742680).

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

1525253305320 is a wasteful number, since it uses less digits than its factorization.

1525253305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15310 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 1525253305320 in words is "one trillion, five hundred twenty-five billion, two hundred fifty-three million, three hundred five thousand, three hundred twenty".