525463172416 has 168 divisors, whose sum is σ = 1290314570496. Its totient is φ = 206749532160.

The previous prime is 525463172413. The next prime is 525463172419. The reversal of 525463172416 is 614271364525.

It is an interprime number because it is at equal distance from previous prime (525463172413) and next prime (525463172419).

It is a super-2 number, since 2×525463172416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525463172413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 910681120 + ... + 910681696.

It is an arithmetic number, because the mean of its divisors is an integer number (7680443872).

Almost surely, 2^525463172416 is an apocalyptic number.

525463172416 is a gapful number since it is divisible by the number (56) 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 525463172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645157285248).

525463172416 is an abundant number, since it is smaller than the sum of its proper divisors (764851398080).

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

525463172416 is an equidigital number, since it uses as much as digits as its factorization.

525463172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 870 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 525463172416 in words is "five hundred twenty-five billion, four hundred sixty-three million, one hundred seventy-two thousand, four hundred sixteen".