1007459860729 has 27 divisors (see below), whose sum is σ = 1179055694853. Its totient is φ = 858327701112.

The previous prime is 1007459860727. The next prime is 1007459860739. The reversal of 1007459860729 is 9270689547001.

The square root of 1007459860729 is 1003723.

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

It is not a de Polignac number, because 1007459860729 - 2¹ = 1007459860727 is a prime.

It is a super-2 number, since 2×1007459860729² (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 (1007459860727) 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, 1566811282 + ... + 1566811924.

It is an arithmetic number, because the mean of its divisors is an integer number (43668729439).

Almost surely, 2^{1007459860729} is an apocalyptic number.

1007459860729 is the 1003723-rd square number.

1007459860729 is the 501862-nd centered octagonal number.

It is an amenable number.

1007459860729 is a deficient number, since it is larger than the sum of its proper divisors (171595834124).

1007459860729 is an frugal number, since it uses more digits than its factorization.

1007459860729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 1007459860729 in words is "one trillion, seven billion, four hundred fifty-nine million, eight hundred sixty thousand, seven hundred twenty-nine".