525380349312 has 320 divisors, whose sum is σ = 1924339956000. Its totient is φ = 138561601536.

The previous prime is 525380349311. The next prime is 525380349323. The reversal of 525380349312 is 213943083525.

525380349312 is a `hidden beast` number, since 5 + 253 + 80 + 3 + 4 + 9 + 312 = 666.

525380349312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×525380349312² (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 (525380349311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 665064 + ... + 1221912.

Almost surely, 2^525380349312 is an apocalyptic number.

525380349312 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 525380349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962169978000).

525380349312 is an abundant number, since it is smaller than the sum of its proper divisors (1398959606688).

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

525380349312 is a wasteful number, since it uses less digits than its factorization.

525380349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556895 (or 556874 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 525380349312 in words is "five hundred twenty-five billion, three hundred eighty million, three hundred forty-nine thousand, three hundred twelve".