1525836125632 has 336 divisors, whose sum is σ = 3888870048000. Its totient is φ = 593311380480.

The previous prime is 1525836125603. The next prime is 1525836125663. The reversal of 1525836125632 is 2365216385251.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 218879907 + ... + 218886877.

It is an arithmetic number, because the mean of its divisors is an integer number (11574018000).

Almost surely, 2^{1525836125632} 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 1525836125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944435024000).

1525836125632 is an abundant number, since it is smaller than the sum of its proper divisors (2363033922368).

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

1525836125632 is an equidigital number, since it uses as much as digits as its factorization.

1525836125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7052 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The spelling of 1525836125632 in words is "one trillion, five hundred twenty-five billion, eight hundred thirty-six million, one hundred twenty-five thousand, six hundred thirty-two".