525815681040 has 480 divisors, whose sum is σ = 1929803672160. Its totient is φ = 127529385984.

The previous prime is 525815681023. The next prime is 525815681059. The reversal of 525815681040 is 40186518525.

525815681040 is a `hidden beast` number, since 5 + 2 + 5 + 81 + 568 + 1 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 475239269376 + 50576411664 = 689376^2 + 224892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280733544 + ... + 280735416.

It is an arithmetic number, because the mean of its divisors is an integer number (4020424317).

Almost surely, 2^525815681040 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 525815681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964901836080).

525815681040 is an abundant number, since it is smaller than the sum of its proper divisors (1403987991120).

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

525815681040 is a wasteful number, since it uses less digits than its factorization.

525815681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 525815681040 in words is "five hundred twenty-five billion, eight hundred fifteen million, six hundred eighty-one thousand, forty".