1007365512976 has 15 divisors (see below), whose sum is σ = 1951778459911. Its totient is φ = 503680749136.

The previous prime is 1007365512973. The next prime is 1007365512991. The reversal of 1007365512976 is 6792155637001.

The square root of 1007365512976 is 1003676.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007365512971) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3889245 + ... + 4140163.

Almost surely, 2^{1007365512976} is an apocalyptic number.

1007365512976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1007365512976 is the 1003676-th square number.

It is an amenable number.

1007365512976 is a deficient number, since it is larger than the sum of its proper divisors (944412946935).

1007365512976 is an frugal number, since it uses more digits than its factorization.

1007365512976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501846 (or 250921 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 1007365512976 in words is "one trillion, seven billion, three hundred sixty-five million, five hundred twelve thousand, nine hundred seventy-six".