1053505401525 has 192 divisors, whose sum is σ = 2051391559680. Its totient is φ = 535605048000.

The previous prime is 1053505401511. The next prime is 1053505401551. The reversal of 1053505401525 is 5251045053501.

1053505401525 is a `hidden beast` number, since 1 + 0 + 53 + 50 + 540 + 15 + 2 + 5 = 666.

It is not a de Polignac number, because 1053505401525 - 2⁵ = 1053505401493 is a prime.

It is a super-2 number, since 2×1053505401525² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053505401525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416239510 + ... + 416242040.

It is an arithmetic number, because the mean of its divisors is an integer number (10684331040).

Almost surely, 2^{1053505401525} is an apocalyptic number.

1053505401525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053505401525 is a deficient number, since it is larger than the sum of its proper divisors (997886158155).

1053505401525 is an equidigital number, since it uses as much as digits as its factorization.

1053505401525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 1053505401525 in words is "one trillion, fifty-three billion, five hundred five million, four hundred one thousand, five hundred twenty-five".