1072145527753 has 16 divisors (see below), whose sum is σ = 1149970374720. Its totient is φ = 996463705536.

The previous prime is 1072145527703. The next prime is 1072145527759. The reversal of 1072145527753 is 3577255412701.

It is a cyclic number.

It is not a de Polignac number, because 1072145527753 - 2²¹ = 1072143430601 is a prime.

It is a super-2 number, since 2×1072145527753² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072145527697 and 1072145527706.

It is not an unprimeable number, because it can be changed into a prime (1072145527759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13087426 + ... + 13169092.

It is an arithmetic number, because the mean of its divisors is an integer number (71873148420).

Almost surely, 2^{1072145527753} is an apocalyptic number.

It is an amenable number.

1072145527753 is a deficient number, since it is larger than the sum of its proper divisors (77824846967).

1072145527753 is a wasteful number, since it uses less digits than its factorization.

1072145527753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94776.

The product of its (nonzero) digits is 2058000, while the sum is 49.

The spelling of 1072145527753 in words is "one trillion, seventy-two billion, one hundred forty-five million, five hundred twenty-seven thousand, seven hundred fifty-three".