525263431248 has 120 divisors (see below), whose sum is σ = 1520996087520. Its totient is φ = 169017166080.

The previous prime is 525263431229. The next prime is 525263431267. The reversal of 525263431248 is 842134362525.

525263431248 is a `hidden beast` number, since 5 + 2 + 5 + 2 + 634 + 3 + 1 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (525263431229) and next prime (525263431267).

It is a congruent number.

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, 30104415 + ... + 30121857.

It is an arithmetic number, because the mean of its divisors is an integer number (12674967396).

Almost surely, 2^525263431248 is an apocalyptic number.

525263431248 is a gapful number since it is divisible by the number (58) 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 525263431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760498043760).

525263431248 is an abundant number, since it is smaller than the sum of its proper divisors (995732656272).

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

525263431248 is a wasteful number, since it uses less digits than its factorization.

525263431248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24697 (or 24688 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 525263431248 in words is "five hundred twenty-five billion, two hundred sixty-three million, four hundred thirty-one thousand, two hundred forty-eight".