1007576295961 has 9 divisors (see below), whose sum is σ = 1017015357981. Its totient is φ = 998224068384.

The previous prime is 1007576295959. The next prime is 1007576295967. The reversal of 1007576295961 is 1695926757001.

The square root of 1007576295961 is 1003781.

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 33130916361 + 974445379600 = 182019^2 + 987140^2 .

It is not a de Polignac number, because 1007576295961 - 2¹ = 1007576295959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007576295896 and 1007576295905.

It is not an unprimeable number, because it can be changed into a prime (1007576295967) 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, 109407525 + ... + 109416733.

Almost surely, 2^{1007576295961} is an apocalyptic number.

1007576295961 is the 1003781-st square number.

1007576295961 is the 501891-st centered octagonal number.

It is an amenable number.

1007576295961 is a deficient number, since it is larger than the sum of its proper divisors (9439062020).

1007576295961 is an frugal number, since it uses more digits than its factorization.

1007576295961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 58.

The spelling of 1007576295961 in words is "one trillion, seven billion, five hundred seventy-six million, two hundred ninety-five thousand, nine hundred sixty-one".