783825144921 has 405 divisors, whose sum is σ = 1575317168271. Its totient is φ = 387056045376.

The previous prime is 783825144919. The next prime is 783825144923. The reversal of 783825144921 is 129441528387.

The square root of 783825144921 is 885339.

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

783825144921 is a `hidden beast` number, since 7 + 8 + 3 + 82 + 514 + 49 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (783825144919) and next prime (783825144923).

It can be written as a sum of positive squares in only one way, i.e., 115950465225 + 667874679696 = 340515^2 + 817236^2 .

It is not a de Polignac number, because 783825144921 - 2¹ = 783825144919 is a prime.

It is a super-2 number, since 2×783825144921² (a number of 25 digits) contains 22 as substring.

Its product of digits (3870720) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (783825144923) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 16677130720 + ... + 16677130766.

Almost surely, 2^783825144921 is an apocalyptic number.

783825144921 is the 885339-th square number.

783825144921 is the 442670-th centered octagonal number.

It is an amenable number.

783825144921 is an abundant number, since it is smaller than the sum of its proper divisors (791492023350).

783825144921 is a wasteful number, since it uses less digits than its factorization.

783825144921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 783825144921 in words is "seven hundred eighty-three billion, eight hundred twenty-five million, one hundred forty-four thousand, nine hundred twenty-one".