1075213516770 has 48 divisors (see below), whose sum is σ = 2811000242232. Its totient is φ = 285139491840.

The previous prime is 1075213516703. The next prime is 1075213516777. The reversal of 1075213516770 is 776153125701.

1075213516770 is a `hidden beast` number, since 1 + 0 + 7 + 52 + 13 + 516 + 7 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 579579212601 + 495634304169 = 761301^2 + 704013^2 .

It is a super-2 number, since 2×1075213516770² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1075213516777) 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, 32985967 + ... + 33018546.

Almost surely, 2^{1075213516770} is an apocalyptic number.

1075213516770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1075213516770 is an abundant number, since it is smaller than the sum of its proper divisors (1735786725462).

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

1075213516770 is a wasteful number, since it uses less digits than its factorization.

1075213516770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66004707 (or 66004704 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 1075213516770 in words is "one trillion, seventy-five billion, two hundred thirteen million, five hundred sixteen thousand, seven hundred seventy".