1054252523520 has 1792 divisors, whose sum is σ = 4638281564160. Its totient is φ = 221891788800.

The previous prime is 1054252523509. The next prime is 1054252523573. The reversal of 1054252523520 is 253252524501.

1054252523520 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 252 + 52 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×1054252523520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5519646625 + ... + 5519646815.

Almost surely, 2^{1054252523520} is an apocalyptic number.

1054252523520 is a gapful number since it is divisible by the number (10) 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 1054252523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319140782080).

1054252523520 is an abundant number, since it is smaller than the sum of its proper divisors (3584029040640).

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

1054252523520 is a wasteful number, since it uses less digits than its factorization.

1054252523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 1054252523520 in words is "one trillion, fifty-four billion, two hundred fifty-two million, five hundred twenty-three thousand, five hundred twenty".