1007194895281 has 27 divisors (see below), whose sum is σ = 1043397036633. Its totient is φ = 972238817160.

The previous prime is 1007194895249. The next prime is 1007194895297. The reversal of 1007194895281 is 1825984917001.

The square root of 1007194895281 is 1003591.

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

It is not a de Polignac number, because 1007194895281 - 2⁵ = 1007194895249 is a prime.

It is a super-2 number, since 2×1007194895281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007194895081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6179109706 + ... + 6179109868.

Almost surely, 2^{1007194895281} is an apocalyptic number.

1007194895281 is the 1003591-st square number.

1007194895281 is the 501796-th centered octagonal number.

It is an amenable number.

1007194895281 is a deficient number, since it is larger than the sum of its proper divisors (36202141352).

1007194895281 is an frugal number, since it uses more digits than its factorization.

1007194895281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 55.

The spelling of 1007194895281 in words is "one trillion, seven billion, one hundred ninety-four million, eight hundred ninety-five thousand, two hundred eighty-one".