1017725862976 has 63 divisors (see below), whose sum is σ = 2131757365509. Its totient is φ = 482008036608.

The previous prime is 1017725862953. The next prime is 1017725862983. The reversal of 1017725862976 is 6792685277101.

The square root of 1017725862976 is 1008824.

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

It can be written as a sum of positive squares in only one way, i.e., 14971969600 + 1002753893376 = 122360^2 + 1001376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153337930 + ... + 153344566.

Almost surely, 2^{1017725862976} is an apocalyptic number.

1017725862976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1017725862976 is the 1008824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017725862976

1017725862976 is an abundant number, since it is smaller than the sum of its proper divisors (1114031502533).

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

1017725862976 is an frugal number, since it uses more digits than its factorization.

1017725862976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 1017725862976 in words is "one trillion, seventeen billion, seven hundred twenty-five million, eight hundred sixty-two thousand, nine hundred seventy-six".