1021077914256 has 75 divisors (see below), whose sum is σ = 2955401013081. Its totient is φ = 340347178944.

The previous prime is 1021077914179. The next prime is 1021077914267. The reversal of 1021077914256 is 6524197701201.

The square root of 1021077914256 is 1010484.

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

1021077914256 is a `hidden beast` number, since 1 + 0 + 210 + 7 + 7 + 9 + 1 + 425 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130092947856 + 890984966400 = 360684^2 + 943920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36363390 + ... + 36391458.

Almost surely, 2^{1021077914256} is an apocalyptic number.

1021077914256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1021077914256 is the 1010484-th square number.

It is an amenable number.

1021077914256 is an abundant number, since it is smaller than the sum of its proper divisors (1934323098825).

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

1021077914256 is an frugal number, since it uses more digits than its factorization.

1021077914256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56158 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1021077914256 in words is "one trillion, twenty-one billion, seventy-seven million, nine hundred fourteen thousand, two hundred fifty-six".