10488083037961 has 15 divisors (see below), whose sum is σ = 11071984044093. Its totient is φ = 9934971089940.

The previous prime is 10488083037953. The next prime is 10488083037977. The reversal of 10488083037961 is 16973038088401.

The square root of 10488083037961 is 3238531.

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

It is not a de Polignac number, because 10488083037961 - 2³ = 10488083037953 is a prime.

It is a super-2 number, since 2×10488083037961² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10488083037896 and 10488083037905.

It is not an unprimeable number, because it can be changed into a prime (10488083031961) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1169105206 + ... + 1169114176.

Almost surely, 2^{10488083037961} is an apocalyptic number.

10488083037961 is the 3238531-st square number.

10488083037961 is the 1619266-th centered octagonal number.

It is an amenable number.

10488083037961 is a deficient number, since it is larger than the sum of its proper divisors (583901006132).

10488083037961 is an frugal number, since it uses more digits than its factorization.

10488083037961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18018 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 10488083037961 in words is "ten trillion, four hundred eighty-eight billion, eighty-three million, thirty-seven thousand, nine hundred sixty-one".