1075634135953 has 8 divisors (see below), whose sum is σ = 1158405387048. Its totient is φ = 992867193984.

The previous prime is 1075634135923. The next prime is 1075634135959. The reversal of 1075634135953 is 3595314365701.

1075634135953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5303189329 + 1070330946624 = 72823^2 + 1034568^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1075634135953 - 2⁹ = 1075634135441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1075634135953.

It is not an unprimeable number, because it can be changed into a prime (1075634135959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549250 + ... + 1566187.

It is an arithmetic number, because the mean of its divisors is an integer number (144800673381).

Almost surely, 2^{1075634135953} is an apocalyptic number.

1075634135953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1075634135953 is a deficient number, since it is larger than the sum of its proper divisors (82771251095).

1075634135953 is a wasteful number, since it uses less digits than its factorization.

1075634135953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154563.

The product of its (nonzero) digits is 5103000, while the sum is 52.

The spelling of 1075634135953 in words is "one trillion, seventy-five billion, six hundred thirty-four million, one hundred thirty-five thousand, nine hundred fifty-three".