10119756409 has 15 divisors (see below), whose sum is σ = 11811433263. Its totient is φ = 8669851848.

The previous prime is 10119756401. The next prime is 10119756431. The reversal of 10119756409 is 90465791101.

It is a happy number.

The square root of 10119756409 is 100597.

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

It can be written as a sum of positive squares in only one way, i.e., 5223675625 + 4896080784 = 72275^2 + 69972^2 .

It is not a de Polignac number, because 10119756409 - 2³ = 10119756401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10119756401) 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, 4928227 + ... + 4930279.

Almost surely, 2^10119756409 is an apocalyptic number.

10119756409 is the 100597-th square number.

10119756409 is the 50299-th centered octagonal number.

It is an amenable number.

10119756409 is a deficient number, since it is larger than the sum of its proper divisors (1691676854).

10119756409 is an frugal number, since it uses more digits than its factorization.

10119756409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 10119756409 in words is "ten billion, one hundred nineteen million, seven hundred fifty-six thousand, four hundred nine".