1205747513028 has 36 divisors (see below), whose sum is σ = 3105368599788. Its totient is φ = 394332519360.

The previous prime is 1205747513027. The next prime is 1205747513063. The reversal of 1205747513028 is 8203157475021.

1205747513028 is a `hidden beast` number, since 1 + 2 + 0 + 574 + 7 + 51 + 3 + 0 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 610723494144 + 595024018884 = 781488^2 + 771378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (1205747513027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315969663 + ... + 315973478.

It is an arithmetic number, because the mean of its divisors is an integer number (86260238883).

Almost surely, 2^{1205747513028} is an apocalyptic number.

1205747513028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1205747513028 is an abundant number, since it is smaller than the sum of its proper divisors (1899621086760).

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

1205747513028 is a wasteful number, since it uses less digits than its factorization.

1205747513028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631943204 (or 631943199 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1205747513028 in words is "one trillion, two hundred five billion, seven hundred forty-seven million, five hundred thirteen thousand, twenty-eight".