1007640538969 has 9 divisors (see below), whose sum is σ = 1014599215357. Its totient is φ = 1000729286464.

The previous prime is 1007640538967. The next prime is 1007640538999. The reversal of 1007640538969 is 9698350467001.

The square root of 1007640538969 is 1003813.

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

It can be written as a sum of positive squares in 4 ways, for example, as 171491233225 + 836149305744 = 414115^2 + 914412^2 .

It is not a de Polignac number, because 1007640538969 - 2¹ = 1007640538967 is a prime.

It is a super-2 number, since 2×1007640538969² (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 (1007640538967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149564769 + ... + 149571505.

Almost surely, 2^{1007640538969} is an apocalyptic number.

1007640538969 is the 1003813-rd square number.

1007640538969 is the 501907-th centered octagonal number.

It is an amenable number.

1007640538969 is a deficient number, since it is larger than the sum of its proper divisors (6958676388).

1007640538969 is an frugal number, since it uses more digits than its factorization.

1007640538969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13772 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 1007640538969 in words is "one trillion, seven billion, six hundred forty million, five hundred thirty-eight thousand, nine hundred sixty-nine".