1027478213316 has 81 divisors (see below), whose sum is σ = 2611784017479. Its totient is φ = 340585056000.

The previous prime is 1027478213287. The next prime is 1027478213327. The reversal of 1027478213316 is 6133128747201.

The square root of 1027478213316 is 1013646.

It is a perfect power (a square), and thus also a powerful number.

1027478213316 is a `hidden beast` number, since 10 + 27 + 478 + 2 + 133 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 395834755716 + 631643457600 = 629154^2 + 794760^2 .

It is a super-2 number, since 2×1027478213316² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1465731766 + ... + 1465732466.

Almost surely, 2^{1027478213316} is an apocalyptic number.

1027478213316 is the 1013646-th square number.

It is an amenable number.

1027478213316 is an abundant number, since it is smaller than the sum of its proper divisors (1584305804163).

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

1027478213316 is an frugal number, since it uses more digits than its factorization.

1027478213316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1027478213316 in words is "one trillion, twenty-seven billion, four hundred seventy-eight million, two hundred thirteen thousand, three hundred sixteen".