525267459072 has 352 divisors, whose sum is σ = 1618082428160. Its totient is φ = 168190525440.

The previous prime is 525267458993. The next prime is 525267459083. The reversal of 525267459072 is 270954762525.

525267459072 is a `hidden beast` number, since 5 + 2 + 526 + 7 + 45 + 9 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 72517083 + ... + 72524325.

It is an arithmetic number, because the mean of its divisors is an integer number (4596825080).

Almost surely, 2^525267459072 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 525267459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809041214080).

525267459072 is an abundant number, since it is smaller than the sum of its proper divisors (1092814969088).

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

525267459072 is a wasteful number, since it uses less digits than its factorization.

525267459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 525267459072 in words is "five hundred twenty-five billion, two hundred sixty-seven million, four hundred fifty-nine thousand, seventy-two".