1053261180135 has 24 divisors (see below), whose sum is σ = 1825792875504. Its totient is φ = 561696168960.

The previous prime is 1053261180133. The next prime is 1053261180161. The reversal of 1053261180135 is 5310811623501.

It is a happy number.

1053261180135 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 611 + 8 + 0 + 1 + 35 = 666.

It is not a de Polignac number, because 1053261180135 - 2¹ = 1053261180133 is a prime.

It is a super-2 number, since 2×1053261180135² (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 1053261180135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053261180133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301477 + ... + 1482366.

It is an arithmetic number, because the mean of its divisors is an integer number (76074703146).

Almost surely, 2^{1053261180135} is an apocalyptic number.

1053261180135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1053261180135 is a deficient number, since it is larger than the sum of its proper divisors (772531695369).

1053261180135 is a wasteful number, since it uses less digits than its factorization.

1053261180135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796975 (or 1796972 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1053261180135 in words is "one trillion, fifty-three billion, two hundred sixty-one million, one hundred eighty thousand, one hundred thirty-five".