526117385001472 has 160 divisors (see below), whose sum is σ = 1208238662062080. Its totient is φ = 226349250785280.

The previous prime is 526117385001469. The next prime is 526117385001503. The reversal of 526117385001472 is 274100583711625.

It is a super-2 number, since 2×526117385001472² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) 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 15 ways as a sum of consecutive naturals, for example, 114056143 + ... + 118579249.

It is an arithmetic number, because the mean of its divisors is an integer number (7551491637888).

Almost surely, 2^{526117385001472} 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 526117385001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604119331031040).

526117385001472 is an abundant number, since it is smaller than the sum of its proper divisors (682121277060608).

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

526117385001472 is a wasteful number, since it uses less digits than its factorization.

526117385001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524242 (or 4524226 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 526117385001472 in words is "five hundred twenty-six trillion, one hundred seventeen billion, three hundred eighty-five million, one thousand, four hundred seventy-two".