1926535672009 has 45 divisors (see below), whose sum is σ = 2147985761649. Its totient is φ = 1727889705360.

The previous prime is 1926535672001. The next prime is 1926535672079. The reversal of 1926535672009 is 9002765356291.

The square root of 1926535672009 is 1387997.

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

It can be written as a sum of positive squares in 2 ways, for example, as 955207158409 + 971328513600 = 977347^2 + 985560^2 .

It is not a de Polignac number, because 1926535672009 - 2³ = 1926535672001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1926535672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10086574104 + ... + 10086574294.

Almost surely, 2^{1926535672009} is an apocalyptic number.

1926535672009 is the 1387997-th square number.

1926535672009 is the 693999-th centered octagonal number.

It is an amenable number.

1926535672009 is a deficient number, since it is larger than the sum of its proper divisors (221450089640).

1926535672009 is an frugal number, since it uses more digits than its factorization.

1926535672009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

It can be divided in two parts, 1926535 and 672009, that added together give a square (2598544 = 1612²).

The spelling of 1926535672009 in words is "one trillion, nine hundred twenty-six billion, five hundred thirty-five million, six hundred seventy-two thousand, nine".