525513010848 has 192 divisors, whose sum is σ = 1698152988672. Its totient is φ = 138985482240.

The previous prime is 525513010837. The next prime is 525513010849. The reversal of 525513010848 is 848010315525.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (525513010849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69261 + ... + 1027532.

It is an arithmetic number, because the mean of its divisors is an integer number (8844546816).

Almost surely, 2^525513010848 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 525513010848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849076494336).

525513010848 is an abundant number, since it is smaller than the sum of its proper divisors (1172639977824).

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

525513010848 is a wasteful number, since it uses less digits than its factorization.

525513010848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096867 (or 1096859 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 525513010848 in words is "five hundred twenty-five billion, five hundred thirteen million, ten thousand, eight hundred forty-eight".