521151287904 has 768 divisors, whose sum is σ = 1843546521600. Its totient is φ = 141572800512.

The previous prime is 521151287897. The next prime is 521151287941. The reversal of 521151287904 is 409782151125.

521151287904 is a `hidden beast` number, since 52 + 1 + 1 + 512 + 87 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 521151287904.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 232759617 + ... + 232761855.

It is an arithmetic number, because the mean of its divisors is an integer number (2400451200).

Almost surely, 2^521151287904 is an apocalyptic number.

521151287904 is a gapful number since it is divisible by the number (54) 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 521151287904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921773260800).

521151287904 is an abundant number, since it is smaller than the sum of its proper divisors (1322395233696).

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

521151287904 is a wasteful number, since it uses less digits than its factorization.

521151287904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 521151287904 in words is "five hundred twenty-one billion, one hundred fifty-one million, two hundred eighty-seven thousand, nine hundred four".