1053624135606 has 64 divisors (see below), whose sum is σ = 2535305011200. Its totient is φ = 285161177376.

The previous prime is 1053624135533. The next prime is 1053624135607. The reversal of 1053624135606 is 6065314263501.

It is a super-2 number, since 2×1053624135606² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053624135607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8025811 + ... + 8156033.

It is an arithmetic number, because the mean of its divisors is an integer number (39614140800).

Almost surely, 2^{1053624135606} is an apocalyptic number.

1053624135606 is an abundant number, since it is smaller than the sum of its proper divisors (1481680875594).

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

1053624135606 is a wasteful number, since it uses less digits than its factorization.

1053624135606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140393.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 1053624135606 in words is "one trillion, fifty-three billion, six hundred twenty-four million, one hundred thirty-five thousand, six hundred six".