526062125472 has 192 divisors, whose sum is σ = 1566076659840. Its totient is φ = 153280512000.

The previous prime is 526062125467. The next prime is 526062125483. The reversal of 526062125472 is 274521260625.

It is a super-2 number, since 2×526062125472² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99611472 + ... + 99616752.

It is an arithmetic number, because the mean of its divisors is an integer number (8156649270).

Almost surely, 2^526062125472 is an apocalyptic number.

526062125472 is a gapful number since it is divisible by the number (52) 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 526062125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783038329920).

526062125472 is an abundant number, since it is smaller than the sum of its proper divisors (1040014534368).

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

526062125472 is a wasteful number, since it uses less digits than its factorization.

526062125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 526062125472 in words is "five hundred twenty-six billion, sixty-two million, one hundred twenty-five thousand, four hundred seventy-two".