525417493320 has 480 divisors, whose sum is σ = 1944960621120. Its totient is φ = 126959374080.

The previous prime is 525417493319. The next prime is 525417493397. The reversal of 525417493320 is 23394714525.

It is a happy number.

525417493320 is a `hidden beast` number, since 5 + 2 + 541 + 74 + 9 + 3 + 32 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 26891955 + ... + 26911485.

It is an arithmetic number, because the mean of its divisors is an integer number (4052001294).

Almost surely, 2^525417493320 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 525417493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972480310560).

525417493320 is an abundant number, since it is smaller than the sum of its proper divisors (1419543127800).

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

525417493320 is a wasteful number, since it uses less digits than its factorization.

525417493320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 525417493320 in words is "five hundred twenty-five billion, four hundred seventeen million, four hundred ninety-three thousand, three hundred twenty".