525762349056 has 288 divisors, whose sum is σ = 1791421632000. Its totient is φ = 145370972160.

The previous prime is 525762349027. The next prime is 525762349061. The reversal of 525762349056 is 650943267525.

It is a happy number.

525762349056 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 623 + 4 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×525762349056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 525762348993 and 525762349011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934020 + ... + 4065468.

It is an arithmetic number, because the mean of its divisors is an integer number (6220214000).

Almost surely, 2^525762349056 is an apocalyptic number.

525762349056 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 525762349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895710816000).

525762349056 is an abundant number, since it is smaller than the sum of its proper divisors (1265659282944).

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

525762349056 is a wasteful number, since it uses less digits than its factorization.

525762349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131515 (or 131492 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 525762349056 in words is "five hundred twenty-five billion, seven hundred sixty-two million, three hundred forty-nine thousand, fifty-six".